What is the value of this logarithmic expression?
log, 16 – log, 4
OA.
6
OB.
3.58
O c.
N.
OD.
0.60
Reset
Nel

What Is The Value Of This Logarithmic Expression?log, 16 Log, 4OA.6OB.3.58O C.N.OD.0.60ResetNel

Answers

Answer 1

Answer:

2

Step-by-step explanation:

option c is the correct answer

Answer 2

The required value of the given logarithmic expression log₂ 16 – log₂ 4 is 2. The correct answer would be an option (C).

What are the properties of logarithms?

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

According to the problem, we will use some of the basic logarithmic properties,

The logarithmic expression is given in the question, as follows:

log₂ 16 – log₂ 4

We have to determine the value of the given logarithmic expression.

As per the given question, we have

⇒ log₂ 16 – log₂ 4

⇒ log₂ 2⁴ – log₂ 2²

Using property logₐ(xⁿ) = n logₐx,

⇒ 4 log₂ 2 – 2 log₂ 2

Apply the subtraction operation, and we get

⇒ 2 log₂ 2

⇒ 2 (1)

⇒ 2

Thus, the required value of the given logarithmic expression is 2.

Learn more about the logarithmic properties here:

brainly.com/question/24211708

#SPJ2


Related Questions

Darren bends a piece of wire using a circular disc to make the
shape as shown.
A. How long does the piece of wire need to be
to make the shape? Explain.
22 cm
100 cm
B. Construct Arguments What information do
you think is needed to find part of the
circumference of a circle? Justify your answer.

Answers

Answer: the wire is 134.54 because you add 100 and the other part of the wire which is 34.54. You find this by finding a quarter of the circumference. The center of the circle is needed to find part of the circumference.

The piece of wire that needs to be to make the shaped wire is 134.54.

We have given that,

Darren bends a piece of wire using a circular disc to make the

shape as shown.

We have to determine what information is needed to find part of the circumference of a circle

What is the circumference of a circle?

The circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.

The wire is 134.54

because you add 100 and the other part of the wire is 34.54.

You find this by finding a quarter of the circumference.

The center of the circle is needed to find part of the circumference.

The piece of wire that needs to be to make the shaped wire is 134.54.

To learn more about the shape visit:

https://brainly.com/question/25965491

#SPJ2

The sum of three consecutive even numbers is 108. Write and evaluate an expression in terms of x to determine the smallest of the three numbers. Include parentheses in your expression.

Answers

Answer:

[tex]34[/tex]

Step-by-step explanation:

Let the first number be [tex]x[/tex]

The next number be [tex]2[/tex] more than the previous as it is an even number

The second number is [tex]x+2[/tex]

and the last number is [tex]x+4[/tex]

The sum of the numbers is [tex]108[/tex], so the expression will be

[tex]x+(x+2)+(x+4)=108[/tex]

[tex]\Rightarrow 3x+6=108[/tex]

[tex]\Rightarrow x=\dfrac{108-6}{3}[/tex]

[tex]\Rightarrow x=34[/tex]

The smallest of the three numbers is [tex]34[/tex].

n - 6 > -4 or 2n - 9 < -13

Answers

Answer:

the answer is

N>2 or N<-2

Step-by-step explanation:

Answer:

This is the answer N>2 or N<-2

Find the length of the hypotenuse of the right triangle.

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 34

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: C=34

Step-by-step explanation:

[tex]16^{2} +30^{2} =C^{2} \\\sqrt{C^{2} }+ C[/tex]

Bob made 4 1/4 pounds of fruit salad. He added 10 ounces of pineapple. How many 6-ounce servings did Bob make?
A. 8 servings
B. 13 servings
C. 18 servings
D. 40 servings

Answers

Answer:

13 or B

Step-by-step explanation:

1 pound=16 oz

4 1/4=4.25, 4.25*16=68

68+10=78

78/6=13

6-ounce servings did Bob make be 13 servings.

What is pounds?

pound, unit of avoirdupois weight, equal to 16 ounces, 7,000 grains,

Bob made 4 1/4 pounds of fruit salad

10 ounces of pineapple.

as, 1 pound=16 ounces

So, 4 1/4=17/4= 4.25 pounds of fruit salad

Now, 4.25 pounds in ounce = 4.25* 16

= 68 ounces

Total serving = 68+10

= 78

Thus,  6-ounce servings =78/6

                                         = 13 servings

Learn more about pounds here:

https://brainly.com/question/23393963

#SPJ2

Helpp me find the answer ASAP!!! plss!!
2.) Whats the answer for EBD
4.) Whats the answer for PNS, NSR, and NPR

Answers

Answer:

Perpendicular

90 degrees

Step-by-step explanation:

When perpendicular lines intersect they form 4 right angles. Since these lines meet at 90-degree angles they must be perpendicular. Also, <ABC is directly across from <EBD, this means they are vertical angles. Vertical angles are congruent, so <EBD measures 90 degrees.

Mr. Rodriguez had his students line up in order from shortest to tallest. Tia was exactly in the middle of all the students. Which measure of center would describe her height?

Answers

Answer:

Median

Step-by-step explanation:

The median value of a distribution is obtained by :

FIRSTLY : Arranging the data in order usually ascending order.

Then the 50th percentile of the data is determined , the value which falls in the 50th percentile is the median of the distribution. The 50th percentile is the exact mid value of the distribution.

This describes the exact same way Tia was chosen in the scenario described above. Hence the measure of the center described is the Median.

Photos shown below :)

Answers

Answer:

choose the second one

Step-by-step explanation:

Plsssss help me illl appreciate it

Answers

Answer:

(2,2)

Step-by-step explanation:

-3 + 5 = 2

4 - 2 = 2

(2,2) yk
btw if someone asks something about a link don’t click on it

How many different 3-letter codes can be formed from the word DUPLICATE? Without repeating the letters.

Answers

Answer:

There are 504 different codes.

Step-by-step explanation:

First some definitions:

If we have a set of N elements and we want to make combinations of K of these elements, the total number of different combinations is:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

And in the case of codes we need to also take in account the permutations of the elements (because is not the same DAC as CDA)

For a set of K different elements, the number of permutations is K!

We can not duplicate letters, then the first thing we need to do is to count the al the unique letters that appear in the word duplicate, these are:

{D, U, P, L, I, C, A, T, E}

We have a total of 9 letters, and the code must have 3, then:

N = 9

K = 3

The total number of different combinations is:

[tex]C(9, 3) = \frac{9!}{(9 - 3)!*3!}[/tex]

And each one of these combinations needs to be multiplied for the different permutations, then the total number of different codes is:

[tex]codes = \frac{9!}{(9 - 3)!*3!}*3! = \frac{9!}{(9 - 3)!} = \frac{9!}{6!} = 9*8*7 = 504[/tex]

There are 504 different codes.

Na atmosfera,a temperatura diminui cerca de1 grau a cada 200 m de afastamento da superficie terrestre.Se a temperatura na superficie e de +20c,qual sera a temperatura na atmosfera a uma altura de 10 km a] +30c b] +20c c] _20c d] _30c

Answers

Responder:

- 30 ° C

Explicação passo a passo:

Dado que :

A temperatura diminui 1 ° para cada 200 m afastados da superfície terrestre

Temperatura na superfície da terra = 20 ° C

Temperatura atmosférica a uma altura de 10 km de. Superfície Terrestre :

Queda de temperatura para uma altura de 10 km de distância;

10km = 10 * 1000 = 10.000 m

1 * (10000/200)

1 * 50

= 50 ° C

Portanto ;

Temperatura da superfície terrestre - 50 ° C

20 ° C - 50 ° C

= - 30 ° C

Please help.
Is algebra.

Answers

Answer:

5. 3[tex]x^{4}[/tex]

6. id k this one

Jeremy has a set of wooden sticks with the length of 10cm, 12cm, and 15cm. Explain whether or not he would be able to form a triangle with these tree sticks?

Answers

Answer:

YES, he would be able to form a triangle with these tree sticks

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side. And this MUST be true with all combinations

10+12 is greater than 15

10+15 is greater than 12

15 +12 is greater than 10

Find the value of x and each arc measure

Answers

Answer:

x = 11

m(arc)MN = 65

m(arc)NP = 115

m(arc)NQP = 245

Step-by-step explanation:

10x - 45 = 6x - 1

4x = 44

x = 11

m(arc)MN = 10x - 45 = 10(11) - 45 = 110 - 45 = 65

m(arc)NP = 180 - 65 = 115

m(arc)NQP = 360 - 115 = 245

Using a deck of 52 standard playing cards, find the probability for P(Clubs or Spades).
Select the correct response:
1
4

1
3

1
2

1
13

Answers

Answer:

third choice 1/2

Step-by-step explanation:

A deck of standard playing cards consists of clubs, diamonds, hearts, & spades. So clubs and spades together represent half the deck.

So 26 in 52 chance of one of either. Simplified...

1/2

Wich expression makes equation true for all values of x.

Answers

Answer:

A

Step-by-step explanation:

what is the answer to The value of y is directly proportional to the value of X. If y=55, when X=120, what is the value of y when X=60?

Answers

Answer:

27.5

Step-by-step explanation:

y = kx

55 = 120k

k = 55/120

y = 55/120 x 60

y = 55/2

y = 27.5

Kayla has 18 bottles of bubbles. She wants to give 2 bottles to each of her 6 friends. How many bottles will she have left over? What expression will solve the problem

Answers

Answer:

6

Step-by-step explanation:

You started with 18 and you multiply 6×2 and you get 12 able your answer is 6 I believe. sorry if I'm wrong

Answer:

6 bottles left

Step-by-step explanation: You have 18 bottles in total so 2x6 is 12. 18-12 is 6.

Expression:  2x6-18

A square has an area of x square units. X is a whole number that is a perfect square. What set of numbers best describes the length of the side of the square?

Answers

Answer:

when the area is whole number it's length and width should be the set of whole number

This distance between New York and DC is 226 miles. If you're looking at a map that has a scale of ½ inch equals 25 miles, how far apart would the two cities be on the map?

Answers

Answer:

4.52 inches

Step-by-step explanation:

Hope this help:) 5 star please:))))

Wallace bought 4 gallons of milk last week because his family drinks a lot of milk. If
his family drinks 3 quarts of milk every day, how many days will it take for them to
finish all 4 gallons?








Help now please

Answers

Answer:

5 days

Step-by-step explanation:

There are 16 quarts in 4 gallons of milk, so if they drink 3 quarts every day just divide 16 by 3 which will give you 5.3 but rounding your answer is 5 days.

I hope this helps!!

PLEASE ANSWER QUICKLY. WILL GIVE BRAINLIEST IF RIGHT!
ASAP PLS

Sally is planning on the school picnic and needs to decide what food vendor to use. She asks 250 students whether they would rather have a taco truck or a fruit smoothie cart the results of the survey are shown in the table.

What is the relative frequency of eighth grades who want fruit smoothies?

Answers

Answer:

C.

Step-by-step explanation:

That's all I know

Answer:

It's D .18

Step-by-step explanation:

45 eight graders of 250 surveyed want fruit smoothies

45/250 = .18

Judy has 100 pencils stored in boxes. If there are 20 boxes, how many pencils must go in each box?

Answers

Answer:

5 pencils per box

Step-by-step explanation:

what is two plus two​

Answers

Two plus two is four 4

Answer:

4

Step-by-step explanation:

Dude, that's easy!

Hope I helped! Brainiest plz! Have a nice day!♥ Hope you make a 100% -Amelia

write 5 3/6 as an improper fraction ​

Answers

Answer:

33/6

Step-by-step explanation:

Multiply the whole number and denominator, then add the numerator. Put that number over the original denominator of the mixed fraction

Multiply 5 and 6

5*6=30

Add 3

30+3=33

Add the denominator

33/6

Answer: 33/6(33 over 6)

If the second term of a geometric sequence is 4 and the third term is –12, find the
explicit formula.
an= 3•(4/3) n-1
an =-4/3•(-3)n-1
an=-3•(-4/3) n-1
an = 4/3 •(3)n-1

Answers

Answer:

            [tex]\bold{a_n=-\frac43\cdot(-3)^{n-1}}[/tex]

Step-by-step explanation:

The formula of a geometric sequence:  aₙ = a₁ rⁿ⁻¹

[tex]a_2=4\\a_3=-12\\r=\frac{a_{n+1}}{a_{n}}=\frac{-12}{4}=-3[/tex]

[tex]a_1=a_1\div r=4:(-3)=-\frac43\\\\a_n=-\frac43\cdot(-3)^{n-1}[/tex]

what is the difference between polynomial and trinomial​

Answers

Answer:

polynomial means more than 3 equation and trinomial means 3 equation

Find the area of the regular hexagon if the radius of a circle inscribed in the hexagon is 10√3
meters.

Answers

Answer:

D. 600√3  

Step-by-step explanation:

Refer to your previous question:

https://brainly.com/question/22624022

Radius of the inscribed circle is the apothem of the hexagon.

Apothem (a) and half of the side (s) make a 30-60-90 right triangle.

The ratio of the legs, as per property of 30-60-90 triangle:

s : a = 1 : √3 ⇒ s : 10√3 = 1 : √3 ⇒ s = 10

Half the side is s = 10 units, then side of the hexagon is 20 units.

The area of the hexagon:

A = 1/2Pa, P- perimeter, a- apothem A = 1/2(6*20)*(10√3) = 600√3

Correct choice is D

m/1= 58° and m/2= 122°
1
2
3
4
What is m/3?
Enter your answer in the box.

Answers

Answer:

58 degrees.

Step-by-step explanation:

M<3 = M<1 (opposite angles).

Type the correct answer in the box.

Answers

Step-by-step explanation:

4 triangles bh/2=area

2 x 2/2 = 2

2 x 4triangles = 8 units

two rectangles bh=area

2 x 6 = 12

12 x 2rectangles = 24 units

last rectangle is bh

6 x 8 = 48 untis

24+48+8=80 units

Other Questions
Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria? F 45,000 x + 2,500 x = 54,000 x + 1,500 x G 45,000 x + 2,500 = 54,000 x + 1,500 H 45,000 + 2,500 x = 54,000 + 1,500 x J 45,000 x + 2,500 x = 54,000 x + 1,500 Which of the following describes how freshwater resources are threatened in urban areas?chemical residue collected from streets in rain runoffcontamination due to power plant emissionschemical residue in rivers that sustain water sourcescontamination due to littering from urban residents What is the height of a rectangle with a perimeter of 152.8 mm and baselength of 72.2 mm? What artist created the image above? Find the suggested determinants. Given [A] = [5 -4 3 -3]. Find the determinant of [A]. Which entries would help you find specific information about what ancient writing actually looked like? Choose three correct answers.Which entries would help you find specific information about what ancient writing actually looked like? Choose three correct answers. When Was Malcem X Born And Why Did He Die? What divisions of labor does Adam Smith talk about for the wool and linen industry in 1776? Use the figure to find the measures of the numbered angles, help! 7,8,9 write a poem about yourself ( this is for creativity, dont report for no reason, Also i love all poems but i will choos which on i like more. How can interests play a role in planning for your career brainlyA.You may want to join clubs or teams at work.B.You won't want to work with people who have different interests.C.Interests should be included on your resume.D.It is possible to choose a career based on your interests. When a stream's velocity decreases from 300 to 200 centimeters per second, which size sediment will be deposited? Where are my smart friends?? I had $370.00. My Mom gave $150.00. My Dad gave $150.00. My Aunt and Uncle gave me $100.00. I had another $30.00. How much did I have? Marcus has 16 4/7 ounces of pretzels that he wants to split equally among 4 people. How many ounces of pretzels will each person get? Seven friends go out for dinner and the bill for food and drink comes to 140 the friends decide to add a 5% tip on top of this total if they divide the expense equally between them how much does each friend pay PLEASE HELP I AM BEGGING YOU GUYS!!!!!!!!!!!!!!!! I WILL GFIVE BRAINLIEST AND EXTRE POINTS!!!!!!!!!!!!!!!!!!!! PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!! What is the theme of Team Tryouts by Steve Dawson? What are the solutions to 6x-5x-4=0? HELP ME PLEASE ITS FOR MY NEXT YEARS CLASSA local park currently has 150.04 square meters of grassy area. The members of a community group have proposed the following changes to the way the park land is used.Clearing dead trees and shrubs would allow for 37.51 square meters of additional grassy area.Removing an unused picnic pavilion would allow for 82.70 square meters of additional grassy area.Updating and expanding the playground would reduce the grassy area by 54.19 square meters.How many square meters of grassy area would the park have if all of the community group's proposals were applied? A. 66.02 square meters B. 95.85 square meters C. 216.06 square meters D. 249.42 square meters can u pls help me with this question asap and I will give 5 stars and they will be named brainliest