Use the change of base formula and a calculator to approximate each logarithm. Round to
three decimal places.
log14 (16)

Use The Change Of Base Formula And A Calculator To Approximate Each Logarithm. Round Tothree Decimal

Answers

Answer 1

Answer:

[tex]1.051[/tex]

Step-by-step explanation:

The change of base formula is given by [tex]\log_a b=\frac{\log b}{\log a}[/tex]

Substituting given values, we have:

[tex]\log_{14} 16=\frac{\log 16}{\log 14}\approx \boxed{1.051}[/tex]


Related Questions

Can someone plz help me find the vertex and the stretch factor

Answers

Answer:

(1,-25)

Step-by-step explanation:

I believe the answer is (1,-25) because when the function is graphed the vertex is at the point x=1 y=-25

The model represents an inequality. What is the solution set for the inequality?

Answers

Given:

The figure of an algebraic tiles model of an inequality.

To find:

The inequality for the given model.

Solution:

On the left hand side of the inequality sign in the model we have 8 tiles of x and 12 tiles of 1. So,

[tex]LHS=8(x)+12(1)[/tex]

[tex]LHS=8x+12[/tex]

On the right hand side of the inequality sign in the model we have 12 tiles of -1. So,

[tex]RHS=12(-1)[/tex]

[tex]RHS=-12[/tex]

Now, the inequality for the given model is:

[tex]8x+12\geq -12[/tex]

Therefore, the required inequality for the given model is [tex]8x+12\geq -12[/tex].

Overnight, a pipe cracked and started to leak into a basementThe graph shows the depth of the water in relation to time
A.) How many inches does the water rise each hour?
B.) How deep is the water after four hours?
C.) How long will take for the water to reach a depth of 80 inches?

Answers

Answer:

Each hour the water will rise 10 in. After 4 hours the water will be 40 in deep. It will take 8 hours for the water to reach a depth of 80 in.

Isaac saw a video game on sale for a 25% discount. The amount of discount is $4. What is the regular price of the video game

Answers

Answer:

The original price was $16

Step-by-step explanation:

$4= 25% of What price?

4= .25 x W

Divide both sides by .25

This leaves the equation as 16=W

I NEED HELP! I HAVE A TEST TOMORROW AND I NEVER PAYED ATTENTION!!! Whats the variable next to the number?? Like 2c or 6y

Answers

Answer:

It means you multiply the number by that variable.

Step-by-step explanation:

This is used to shorten the equation with a variable.  For example, 2c means 2 times c.  6y means 6 times y.  

consider the first six terms
in the sequence -11,-4, 3, 10, 17,24

Answers

Answer:

Next term is 31

Step-by-step explanation:

The numbers keep going up by 7.

If this has helped you please mark as brainliest

PLEASE HELP FAST 30 POINTS! For Trancescient

Answers

c = 22.3 km

Step-by-step explanation:

You can solve this problem using cosine law:

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \gamma ) [/tex]

where a and b are the legs of the triangle, c is the unknown length and the angle gamma is the angle opposite length c. We know that

a = 50 km

b= 52.4 km

gamma = 25°

c^2 = (50 km)^2 + (52.4 km)^2 -2(50)(52.4)cos25°

= 496.707 km^2

or

c = 22.3 km

please help me

no links please and thank you :)

Answers

y = 5/3 - 4 , y-intercept is 4 , slope is 5/3

I've had to repost this question like 4 times because ppl put fake answers, pls put the answer if u know it and dont lie

Answers

Answer:

189.05 ft^3

Step-by-step explanation:

I think this is the right answer but I'm not 100% sure.

So first, you need to find the area of the rectangular prism. 5*5=25, and there are 5 of these rectangles (4 sides and the bottom), so the total is 125 ft^3. I don't think you would include the area of the top, as the top is not flat, and has a pyramid on it.

To find the area of the pyramid, there is a somewhat complicated and long equation that I can't write here, but you can look up the formula for the area of a square pyramid.

The area of the pyramid is around 64.05 ft^3. 125+64.05=189.0500 rounded to the nearest hundredth is 189.05 ft^3.

The inverse of y = e^x

Answers

I hope this helps!!!!

What is the arithmetic mean for 8,10,8,5,4,7,5,10,8

Answers

Answer:

57.8

Step-by-step explanation:

I am sure that this is the answer.

Answer:

57.8

Step-by-step explanation:

8+10+8+5+4+7+5+10+8 ÷9 = 57.8

Hope this helps!

5x-1/5=7/3
Find The LCD That would eliminate the fractions

Answers

Answer:

[tex]x=\frac{7}{15}[/tex]

Step-by-step explanation:

[tex]5x-\frac{1}{5} =\frac{7}{3}[/tex]

[tex]5x - \frac{3}{15} = \frac{35}{15}[/tex]

[tex]5x - \frac{3}{15} + \frac{3}{15} = \frac{35}{15} + \frac{3}{15}[/tex]

[tex]5x=\frac{35}{15}[/tex]

[tex]\frac{5x}{5} } =\frac{\frac{35}{15}}{5}[/tex]

[tex]x=\frac{7}{15}[/tex]

How can you tell from the equation of a rational function if the function has a hole in the graph ( a removable discontinuity) at x, rather than a vertical asymptote? Give an example​

Answers

Consider that,

x^2+4x+4 = (x+2)(x+2)

x^2+7x+10 = (x+2)(x+5)

Dividing those expressions leads to

(x^2+4x+4)/(x^2+7x+10) = (x+2)/(x+5)

The intermediate step that happened is that we have (x+2)(x+2) all over (x+2)(x+5), then we have a pair of (x+2) terms cancel as the diagram indicates (see below). This is where the removable discontinuity happens. Specifically when x = -2. Plugging x = -2 into (x+2)/(x+5) produces an output, but it doesn't do the same for the original ratio of quadratics. So we must remove x = -2 from the domain.

Can someone do this? Ty

Answers

Answer:

Step-by-step explanation:

C)   Sarah is trying to say that 72 and 64 are opposite, if 68 is used as the starting point.  So from the point 68,   72 is +4 and 64 is -4.   68 is the "baseline"   or starting point

If 8 cents are needed to buy 10 pebbles, how many dollars are needed to buy 205 pebbles?

Answers

Answer:

Hello There!!

Step-by-step explanation:

If 8 cents=10 pebbles then do 205 divided by 10 which is 20.5 . So, 8×20.5=164 dollars.

(8×20.5=164) 8 cents=10 (10×20.5=205)

164 dollars=205

Therefore,the answer is 164 dollars.

hope this helps,have a great day!!

~Pinky~

A tailor needs to make uniforms for 32 students from a piece of cloth. If the length of that piece 45 3/4m and each student requires 1 1/8m, calculate the length of cloth that would be left

Answers

Answer:

uniform for 1 student = 1 1/8 = 9/8

uniform 32 students = 32 x 9/8 = 36m

Total cloth = 45 3/4 = 183/4 = 45.75m

Cloth left = 45.75 - 36 = 9.75m i hope that helps

Is 5x^2-8x+4/x+11x^5/2 a polynomial? True or False. Justify your answer

Answers

Answer:

false..................

I need help. URGENT

Use the information and the diagram to answer the question:

What is the area of KLM

Answers

Answer:

i think the answer might be D but im not sure

A number divided by four is at most 6. Which choice is correct??

A. K/4 > 6
B. 4/k ≤ 6
C. K/4 ≥ 6
D. K/4 < 6
E. K/4 ≤ 6

Answers

C because that sign means lesser than or equal to 6

PLZ HELP I BEGG!! 100 POINTS AND BRANLIEST

Answers

Answer:

Vertical angles are opposite angles that are formed from two intersecting lines. From this, the vertical angle to 3 is 5

Answer:

Step-by-step explanation:

<3 is a right angle so its opposite angle is vertical to it. The answer is <5.

PLS HURRRY PLSSS HURRYRY

Answers

Answer: 10in^2 or this

Step-by-step explanation: Hope this help :D

Answer:

29

Step-by-step explanation:

2x2=4

5x5=25

25+4=29

Sorry if this didn't help ;(

No links please or I’m reporting you

Answers

Answer:

quadrant  2   the last  option

Step-by-step explanation:

hope this helps!

WHAT IS THE MEASURE OF ANGLE F?

Answers

Answer:

Hello! answer: 25

Step-by-step explanation:

x = 56 because... 56 - 31 = 25 56 + 43 = 99 and x = 56 so 56 + 25 + 99 = 180 Hope that helps!

What number multiples to -12 and adds to 4 (factoring: diamond method)

Answers

Answer: - 2 and 6

Step-by-step explanation:

Answer:

6 and -2 multiply to -12 and adds to 4

Identify the slopes and y intercept?

Answers

Answer:

answer for number 9 : slope is 3/7 and the y intercept is (0, -2/7 )

answer for number 10 : slope is 4/7 and the y intercept is (0,10)

Step-by-step explanation:

here i hope this helped you

The equation of the line of best fit is y=3x+2. x=the number of ice cream sales and y= the number of days. Answer the following questions. Show your work as proof.

a. How many days did it take, if the number of ice cream sales is $40?

b. How much ice cream was sold on day 8?

Answers

Step-by-step explanation:

y = 3(40) + 2y = 120 + 2y =122.

If the spinner is spun twice, what is the probability that the spinner will stop on a vowel then a consonant?

pls help c:

Answers

B) 1/9

[tex]\\[/tex]

[tex]\large\mathfrak\red{\underline{Step\:by\:step \:explanation}}[/tex]

[tex]\dashrightarrow[/tex]There are 2 (L and Z) consonants out of 6 letters.

[tex]\\[/tex]

[tex]\red\bigstar[/tex]The probability of getting a consonant

[tex]\pink\implies[/tex] 2/6 = 1/3

[tex]\\[/tex]

[tex]:\red\implies[/tex]When we spin the spinner second time, we will get the same probability

= 2/6 = 1/3

[tex]\dashrightarrow[/tex]The probability that the spinner will stop on a consonant then again on a consonant

= 1/3 x 1/3

= 1/9

[tex]\red\bigstar\mathfrak \pink{Therefore, the \: answer \: is \: B) 1/9}[/tex]

[tex]\rule{300px}{.7ex}[/tex]

[tex]\large\tt\purple{\underline{ElegantLavender~}}[/tex]

Option B is correct - 1/9

a triangle having no side congruent is called​

Answers

Answer:

A triangle without any congruent sides or angles is called a scalene triangle. When two triangles are congruent it means that they have the same size and shape.

Step-by-step explanation:

A triangle having no side congruent is called​ is called Scalene triangle.

We have a triangle having no side congruent.

We have to identify the name of this triangle.

What is a Triangle ?

A triangle is a plane figure with three straight sides and three angles.

According to question, we have -

A triangle with no side congruent. If all the three sides of a triangle are of same length then it is called congruent triangle. It is also called Equilateral triangle. Similarly, a triangle with none of its sides equal or congruent is called a Scalene triangle.

Hence, a triangle having no side congruent is called​ is called Scalene triangle.

To solve more questions on Scalene triangle , visit the link below -

https://brainly.com/question/10651823

#SPJ6

when a number is doubled and then eight added it became 60 what is the number​

Answers

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Let the number be x.

Now,

2x + 8 = 60

2x = 60 - 8

x = [tex]\dfrac{52}{2}[/tex]

x = 26

Hence, the number is 26.

Write equation of a line through the points (4,2) and (6,-4)

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

to find slope use m= y2-y1/x2-x1

m= -4-2/6-4

m= -6/2

m=-3

then use point slope formula (y-y1) =m(x-x1)

(y-2) = -3(x-4)

simplify

y-2 = -3x - 4

turn into slope intercept form

y = -3x - 2

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