Use the properties of longarithms to expand log(x^3y)

Answers

Answer 1

[tex]\log(x^3y) = \log(x^3) + \log(y) = 3\log(x) + \log(y)[/tex]

Related Questions

The value of y directly proportional to the value of x. If y= 8 when x= 12, what is the value of y when x= -15?

The value of y directly proportional to the value of x. If y= 3 when x= 24, what is the value of y when x= -8?

Answers

Answer:

The value of y should be -10

Step-by-step explanation:

If x and y are proportional, then 8/12=y/-15

The fractions just show the y values over the x values

Cross multiply to get 12y= -120

y= -10

What is the y-intercept of the linear function graphed here?

Answers

Answer:

The y intercept is -2

Step-by-step explanation:

The line passes through the Y-axis at one point, that point is -2. This therefore, is the Y-intercept.

Graph: y < 1/3x+1/2
graph the point

Answers

Answer:

1/11

Step-by-step explanation:

First you have to times 1/3 and 1/2 and then you get 1/6. Then you add 1/3 and 1/2 and that's 1/5. then you add them both.

Solve |4x +3| < 5

I’m stuck on this question

Answers

x= 0.3 is a possible answer

Answer:

x < 1/2

x > -2

Step-by-step explanation:

We know that 4x + 3 < 5 and 4x + 3 > -5

4x + 3 < 5

~Subtract 3 to both sides

4x < 2

~Divide 4 to both sides

x < 2/4 or x < 1/2

4x + 3 > -5

~Subtract 3 to both sides

4x > -8

~Divide 4 to both sides

x > -2

Best of Luck!

Dividing by 2 always produces a number less than the original number

Answers

Yes, this is true. A fraction, decimal, any number, will decrease if divided by two.

Dividing the number by 2 gives half of the number which is less than the original number.

Given that,
To specify dividing by 2 always produces a number less than the original number.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Dividing the number by 2 gives half of the number which is less than the original number.
Let the number be x,
Dividing the number by 2
Gives, x / 2 = 0.5 * x
Imply,
Dividing the number by 2 gives half of the number which is less than the original number.

Thus, dividing the number by 2 gives half of the number which is less than the original number.

Learn more about the number system here:

https://brainly.com/question/22046046

#SPJ2

The function f(x) = (one-fifth) Superscript x is translated up 4 units. Which equation represents the translated function?

g(x) = (one-fifth) Superscript x minus 4
g(x) = (one-fifth) Superscript x + 4
g(x) = (one-fifth) Superscript x + 4
g(x) = (one-fifth) Superscript x – 4

Answers

Answer:

Step-by-step explanation:

Was right on edge.

Answer:

Step-by-step explanation:

Solve:
2/3x +4 - 3/5 -2

Answers

Answer:

0.666667*x+4-3/5-2

HOPE I HELP!!!! :)

Plz help quick this is due in 10 mins! Are they right? Questions are below!

Answers

Answer:

the first question is right the next about the sea level i think would be 7.92 then the last would be the value of x should be greater than or equal to -5

Step-by-step explanation:

What are the values of x, and y?

Answers

Answer:

if this came out of a book use slader

Step-by-step explanation:

Answer:

AnswersMathsGCSEArticle

What are the values of x and y?

a) 3x + 5y = 26

b) 2x + 2y = 12

Step One: We need to find a way to equate either the x terms of the y terms in each equation. Multiply equation a) by 2 and equation b) by 3 to form the following equations.

a) 6x + 10y = 52

b) 6x + 6y = 36

Step Two: Take equation b) from equation a) to eliminate the x component.

a) 6x + 10y = 52

- b) 6x + 6y = 36

0x + 4y = 16

y = 4

Step Three: substitute the value of y into either equation to find the value of x.

b) 2x + 2y = 12

2x + (2x4) =12

2x + 8 = 12

2x = 4

x = 2

x=2 y=4

Step-by-step explanation:

thank you sana nakatulong yang sagot ko

Lowest temps, Ontario, CA, April 2020 Date Low temperature 4/4/20 −1.8 °C 4/12/20 0.6 °C 4/18/20 −2.8 °C 4/23/20 (missing) 4/28/20 −0.2 °C The table shows the lowest temperatures recorded on five days in April 2020, but the value for 4/23/20 has been lost. If X is the lost value, and if we know that X was the middle value of the five days, which choice could be the value of X? A) −1.9 °C B) −0.9 °C C) −0.1 °C D) 0.4 °C

Answers

Answer: D

Step-by-step explanation:

If you notice there is a pattern going on here the first temp recorded is negetive then the next is a normal temp then the next is negetive so it would be reasonable to think that the next temp would be normal and all the other options are negetive exept for one which is D so the answer is D.

Answer:

Step-by-step explanation:

mn[tex]x^{2} \\jjl[/tex]

Bunny Hill Ski Resort charges $35 for ski rental and $10 an hour to ski. Black Diamond Ski Resort charges $40 for ski rental and $5 an hour to ski. Create an equation to determine at what point the cost of both ski slopes is the same.
HELP PLZZZZZZZZZ :(
A 10x − 35 = 5x − 40
B 10x + 35 = 5x + 40
C 10x + 40 = 5x + 35
D 10x − 40 = 5x − 35

Answers

Answer:

Step-by-step explanation:

The answer is A. 10x - 35

The answer is B
(10x + 35) = (5x + 40)
-5x -5
5x + 35 = 40
-35 -35
5x = 5

-0.8b = 10.4
what is b to make this equation true

Answers

if we divide 10.4 by -0.8 we get: -0.0769 which is the answer!

Answer:

- 13

Step-by-step explanation:

Step 1:

-0.8b = 10.4 Equation

Step 2:

b = 10.4 ÷ - 0.8 Divide

Answer:

b = - 13

Hope This Helps :)

What is one idea that Andre doesn’t understand about rotations?

Answers

Answer:

457367

Step-by-step explanation:

how to do this question plz

Answers

Answer:

[tex]A = 50cm {}^{2} [/tex]

Step-by-step explanation:

[tex]let \: the \: two \: sides \: be : \\ p = 10 \: cm \\ q = x \: cm \: (yet \: unknown) \\ then \: the \: area,\: \boxed{A} \: is \: given \: by : \\ A = \frac{1}{2} pq = \frac{1}{2} 10 \times q. \\ so \: lets \: find \: q : \\ if \: we \: bisect \: the \: rhombus, \: then \: applying \: the \: laws \: of \: sum \: of \: angles : \\ 180 - (80 + 50) = 50. \\ applying \: the \: sin \: rule : \\ \frac{ \sin(50) }{10} = \frac{ \sin(50) }{q} \\ \\ q \sin(50 ) = 10 \sin(50) \\ q = \frac{10 \sin(50) }{ \sin(50) } \\ q = 10. \\ ......wait....what {?} \: all \: of \: this \: to \: just \: to \\ \: know \: that \: q = 10. \\ so \: \\ A = \frac{1}{2} pq = \frac{1}{2} \times 10 \times 10 \\ A = 50cm {}^{2} [/tex]

♨Rage♨

Ten is at least the product of a number h and 5.

Answers

Answer:

Ten is at least the product of a number h and 5. h = 2

Step-by-step explanation:

Divide 10 by 5 and you get 2.

Check; 5 x 2 = 10

10 divided by 5= 2.

I need help finding the slope, The y-intercept, and the equation??

Answers

Answer:

y intercept is (0, 1)

slope is 3

equation is y = 3x +1

Step-by-step explanation:

You find the y intercept when x equals 0 and you can see that on the table that is 1.

You find slope by y2-y1 divided by x2-x1. if you pick (0,1) and (1,4) it is 4-1/1-0 which equals 3.

Therefore the equation is y = 3x + 1 in slope intercept form because the slope is 3 and y int is 1.

what is the expression -3(4k-8) simplified

Answers

It is already in it simplest form, you can’t square root the (4k-8) and -3 you can’t lower anymore

Answer:

-12k + 24

Step-by-step explanation:

-3 × -8 = 24

-3 × 4k = -12k

Kate had 70 dollars to spend on 6 books. After buying them he had 16 dollars. How much did each book cost?

Answers

Answer:

Each book costs 9 dollars.

Step-by-step explanation:

(70-16)= 6x

54= 6x

x=9

Answer:

Step-by-step explanation:

equation: (70-16)÷6

70-16=54

54÷6=9

given the diagram below, if e||f, m<=35°, m<2=95°, m<3=85°, and m<4= 155°, which statements are true? check all that apply

Answers

Answer:

the first answer and the last one

somone plzzzz help ASAPPPPP,BOTH OF THEM!!!!!!!!!!!1

Answers

5 - I don’t know to be honest
6 is G, I know the graph isn’t showing in the pic but the answer is G.

6x+9=2x+13 solve for x

Answers

X=1 that is the final answer.

Answer: 1

6x + 9 = 2x + 13 (remove the nine)

6x = 2x + 4 (remove the 2x)

4x = 4 ( divide by 4)

x = 1

Hank's pickup can travel 65 miles on 5 gallons of gas. How many gallons will Hank's pickup need to travel 39 miles?

Answers

Answer: 3 Gallons

Step-by-step explanation:we divide 65 by 5 and it comes out to 13 so 13 is our miles per gallon and we divide it by 39 and end up with 3 gallons

The gravitational potential energy of an object is given by the formula P = mgh.

Which equation is correctly solved for the height, h?

h = P + mg
h = P - mg
h = P/mg
h = Pmg

Answers

Answer:

Step-by-step explanation:

....................

HELP I NEED THIS RIGHT KNOW!!!!!!!
Explain what
m(4)=90 means in context. (1pts)

Answers

Answer:

[tex]m(4)=90 \\ m = \frac{90}{4} \\ m = 22.5[/tex]

A horse has a speed of 10 miles per hour. The horse has traveled 15 milles. How many miles in total if it rides for another hour?

Answers

Answer:

d = 24.

Step-by-step explanation:

Which expression is equivalent to 6a + 15?

6(a + 5)
3(2a + 5)
3(3a + 12)
6(a + 12)

Answers

The answer is going to be 3(2a+5)

Explanation:

6(a+b) = 6a +30 (it is not equivalent to 6a+15)

You have to multiply what’s in the brackets by 6

3(2a+5) = 6a+15 ( it is equivalent )

3 (3a+12) = 9a+36 (not equivalent)

6(a+12) = 6a+12 (not equivalent)

I hope this helps:))

What is the value of x in the y = 2/3x + 5 when y=7?

Answers

Answer:

x = 3

Step-by-step explanation:

y = 2/3 x + 5; y = 7

7 = (2/3)x + 5

2 = (2/3)x

x = 2 * 3/2

x = 3

Answer:

x=3

Step-by-step explanation:

To start all you need to do is replace [tex]y[/tex] with 7 to get [tex]7=\frac{2}{3}x+5[/tex]

Then, you need to isolate x on the right side of the equation, starting with subtracting 5 on both sides to get [tex]2=\frac{2}{3}x[/tex]

Finally, you divide both sides by [tex]\frac{2}{3}[/tex]. You divide fractions by multiplying the reciprocal like so [tex]\frac{2}{1} *\frac{3}{2} =x[/tex] to get [tex]\frac{6}{2} =x[/tex]. This means that x=3

The distance between Mars and Venus is 3.7 X 10^14 miles. A rocket ship only has enough fuel to travel half that distance. How far can the rocket ship travel?

PLEASE HELP ME
FIRST TO ANSWER WILL GET BRAINLIEST

Answers

Answer:

1.85 X 10^14

Step-by-step explanation:

Your savings account has a balance of $125. You add $22 a month to this balance.
Which equation shows your balance, in months?

A.) () = $125 + $22
B.) () = $125 + $22
C.) () = $125 + $22
D.) () = $125 + $22

Answers

Answer:

which principle prevents a brach from abusing its powerwhich principle prevents a brach from abusing its power

Step-by-step explanation:

PLEASE HELP!!!!

The following figures are not drawn to scale but AB and CD are straight lines. Find x.

Answers

Answer:

uh I think x=25°

Step-by-step explanation:

2x+60°=110°(vertically opposite angles are equal)

2x=110°-60°

2x=50°

x=50°÷2

x=25°

A straight line equals 180 so O =70 and so does the angle across from it to add the knowing angles and you’ll get 310. Subtract this from 360 since that is the degree of a circle and get 50. So then your equation is 50= 2x and you divide and get x=25

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