Use the properties of logarithms to write the following expression as one logarithm.

3 ln(x) + 2 ln(y) − 4 ln(x + 1)

Please show your work and explain, I would like to learn how to complete this type of problem!

Answers

Answer 1

Answer:

Step-by-step explanation:

hi! the log properties say that when logs are multiplied as log(xy), they can be expanded and added like log(x)+log(y). when logs are divided like log(x/y), they can be expanded as log(x)-log(y). when the log has an exponent like log(x^y), the exponent can be added to the front of the log like ylog(x). we can use these properties for this problem.

ln(x^3)+ln(y^2)-ln((x+1)^4)

ln(x^3*y^2)-ln((x+1)^4)

[tex]ln(\frac{(x^3y^2)}{((x+1)^4)})[/tex]


Related Questions

To download movies off the internet, you must pay $1.99 per movie, plus a onetime fee of $5.50. Write an expression to show the total cost to download n movies.

Answers

Answer:

7.49

Step-by-step explanation:

just add it up

is 60 : 45 and 4 : 3 equlvalent ratios?

Answers

Answer:

Yes

Step-by-step explanation:

If you divide 60 and 45 by 15 you get 4 and 3.

Answer:

yes they are infact equivalent

Harry has a part-time job as a babysitter. The table below shows the amount of money Harry earned for different numbers of hours of work:

Harry's Earnings from Babysitting
Number of Hours Worked Money Earned (dollars)
5 60
6 72
8
120

Part A: What are the missing numbers in the table? Show your work. (4 points)

Part B: Harry also does part-time yard work. The ratio of the number of hours Harry works in the yard to the money he earns in dollars is 1:10. Create a table to show the money earned by Harry for 5, 6, and 8 hours of work in the yard. (3 points)

Part C: How many more dollars does Harry earn working as a babysitter for 5 hours than doing yard work for 5 hours? Show your work. (3 points)

Answers

Answer:

Part A- The 1st box is 96 and the second box is 10.

PartB-

Part C-

Step-by-step explanation:

Part A:

5x12=60

6x12=72

8x12=96

10x12=120

So the 1st box is 96 and the second box is 10.

Part B:

5     $50

6     $60

8     $80

I know this because Harry receives $10 per hour so you have to multiply the number of hours by $10.

Part C:

If Harry babysits for 5 hours, he would receive $60 but if he does yard work for 5 hours, he would receive $50. Harry would receive $10 more by babysitting than by doing yard work.

Hoped this helped.

6. Jack is x years old
Jill is 8 years older than Jack.
Mary is three times older than Mary.
The Sum of their ages is 67.
(a) Form a simplified equation in terms of x
(b) Solve the equation and work out Rebecca's Mary's and Jill's ages

Answers

Answer:

i didn't understand in third line mate

AMY HAS TWO TOMATO PLANTS. ONE IS 5 3/4 INCHES TALL AND THE OTHER IS 8 1/2 INCHES TALL. WHAT IS THE DIFFERENCE IN HEIGHT BETWEEN THE TWO TOMATO PLANTS?

Answers

The answer is 2 3/4 inches

Can someone help ME PLEASE?!!! will mark brainliest, a friend request, and will rate ur answer
Can someone write these down on a piece of paper?
THX A LOT FOR WHO EVER HELPS ME!!! :)

Answers

Step-by-step explanation:

hopes this help

gggggyyrtbtb5btbtbb5b5b6b66btb5tb6h6

Simplest form of 8/36

Answers

Answer:

8.36 I think

Step-by-step explanation:

Answer: 2/9

Steps: 8/36 simplified is 2/9.

Plz mark brainliest:)

Explain how the sample proportion p-hat can be viewed as the sample mean X-bar.

Answers

Answer:

Step-by-step explanation:

we need the picture

Where is the point (-8,0) located on the coordinate plane?

1. On the X-axis
2. In quadrant ll
3. In quadrant lll
4. On the y-axis​

Answers

on the x-axis but i’m not 100% sure

Undefined slope, (0,-8)

Answers

What are you asking for?

Find the value of X.

Answers

Answer:

x = 59

Step-by-step explanation:

34 + x - 30 + 5x + 2 = 360

34 - 30 + 2 + x + 5x = 360

4 + 2 + 6x = 360

6 + 6x = 360

6x = 354

x = 59

Hope this helped!

Plzzz help D.
A
Identify the nonlinear graph,
A)
А
B)
B
C)
D

Answers

it’s b if i’m not mistaken

Answer:

C.

Step-by-step explanation:

It is not a straight line therefore it cannot be linear.

I need help with this question

Answers

Answer:

b

Step-by-step explanation:

Julie can type 250 words in 5 minutes. How long does she take to type 900 words!

Answers

Answer:18

Step-by-step explanation:

when writing fraction from a graph does the x axis number go on top or bottom​

Answers

Answer:

x ax-s can be horizontal and top

y axis is bottom

Step-by-step explanation:

A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s new elevation relative to sea level?

Answers

I think the answer is -51

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
a) Simplify the expression and explain each step. (2 points)
4(3x+2)−2
b) Factor the expression completely. (1 point)
20b−16

Answers

bbaxjs ,hjghlgthjgthjnrgtirtmjogrthinlgtrknhgtrhgtlkjbvgthjbmhjvtg

Olga has $40 in her wallet. She has one more $5 bill than $10 bills, and two more $1 bills than $5 bills. If Olga has only three types of bills, how many bills of each denomination does she have?

Answers

Answer:

Number of $10 bills = 2

Number of $5 bills = 3

Number of $1 bills  = 5

Step-by-step explanation:

Given:

Total amount = $40

Number of $10 bills = x

Number of $5 bills = x + 1

Number of $1 bills = x + 1 + 2 = x + 3

Find:

Number of each bills

Computation:

10(x) + 5(x+1) + 1(x+3) = 40

10x + 5x + 5 + x + 3 = 40

16x = 32

x = 2

Number of $10 bills = x = 2

Number of $5 bills = x + 1 = 3

Number of $1 bills  = x + 3 = 5

Answer:

# of $10 bills = 2

# of $5 bills = 3

# of $1 bills  = 5

Step-by-step explanation:

Find the equation of a line parallel to -5x+y=2 that contains the point (5,-2)

Answers

Step-by-step explanation:

y= 5x+2

Well first, parallel equations will always have to same slope so we know one part of the equation, 5x

I always plug in random numbers for b into desmos until the line passes through the given point orrrr you can use the point, plug it into the equation, and solve for b

-2=5(5)+b

Simplify the expression given below x-3/x-1 + 6/x-3 . A. B. C. D.

Answers

Answer:

= x^2 + 3 / (x-1)(x-3)

Step-by-step explanation:

Adjust fractions based on the LCM:

= (x-3)^2 / (x-1)(x-3) + 6(x-1) / (x-3) (x-1)

Combine the fractions (equal denominators):

= (x-3)^2 + 6(x-1) / (x-1) (x-3)

Expand:

x^2 + 3 / (x-1)(x-3)

Answer:d

X^2+3\(x-1)x-3)

Step-by-step explanation:

On Plato

14) What is 50% of 180?
15) What is 25% of 36?
16) What is 100% of 166?
17) What is 150% of 126?
18) What is 10% of 100?
19) What is 200% of 133?
20) What is 25% of 172?

Answers

Answer:

14. 90%

15. 9%

16. 166%

17. 189%

18. 10%

19. 266%

20. 40%

Help me out please I need help

Answers

it would be 7ounces/minute

you just need to figure out what the difference of an hour and a minute is. an hour=60 minutes so you would want to divide 420 by 60 to get your answer
420/60=7 so seven ounces per min.

5 3/4 x 2 1/3 =? wut da answer?

Answers

The answer is 13 5/12 hope this helps

|3x-4| less than or equal to 5

Answers

Evaluate for x = 3

|(3) (3) - 4| = 5

|(3) (3) - 4| = 5

= 5

Solve 6x - 7y= 16 for y.

Answers

Answer:

y = 6/7x -16/7

Step-by-step explanation:

6x - 7y= 16

Subtract 6x from each side

6x-7y-6x = -6x+16

-7y = -6x+16

Divide by -7

-7y/-7 = -6x/-7 + 16/-7

y = 6/7x -16/7

6x - 7y = 16

Subtract 6x from both sides.

-7y = -6x + 16

Divide both sides by -7

y = 6/7x - 16/7

Which operation results in an expression equivalent to ? 23y^4 - 6y^3 + 35y^2 - 20y
A. Q - P

B. PQ

C. P - Q

D. P + Q

Answers

Answer:

D. P + Q

Explanation:

Given:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7)

Required:

Determine which operation will give an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

SOLUTION:

Perform each operation given to see which of them gives an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

Q - P:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7)

Q - P = (5y² - 4y)(3y² + 7) - (8y⁴ + 6y³ + 8y)

(5y²(3y² + 7) -4y(3y² + 7)) - (8y⁴ + 6y³ + 8y)

(15y⁴ + 35y² - 12y³ - 28y) - (8y⁴ + 6y³ + 8y)

Open parentheses

15y⁴ + 35y² - 12y³ - 28y - 8y⁴ - 6y³ - 8y

Collect like terms

15y⁴ - 8y⁴ - 12y³ - 6y³ + 35y² - 28y - 8y

7y⁴ - 18y³ + 35y² - 36y

Therefore, P - Q does not give us an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

PQ:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7) = (15y⁴ + 35y² - 12y³ - 28y)

PQ = (8y⁴ + 6y³ + 8y)(15y⁴ + 35y² - 12y³ - 28y)

=(8y⁴(15y⁴ + 35y² - 12y³ - 28y) +6y³(8y⁴ + 6y³ + 8y)(15y⁴ + 35y² - 12y³ - 28y) +8y(8y⁴ + 6y³ + 8y)(15y⁴ + 35y² - 12y³ - 28y))

= 120y⁸ . . . . .

Note: You don't need to perform this operation further anymore. It would definitely not give us the equivalent expression we are looking for. The degree of the leading term (120y⁸) is way too greater than the degree of the leading term (23y⁴) of the equivalent expression we are looking for.

Thus, PQ cannot give us an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

P - Q:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7) = (15y⁴ + 35y² - 12y³ - 28y)

P - Q = (8y⁴ + 6y³ + 8y) - (15y⁴ + 35y² - 12y³ - 28y)

Open parentheses

8y⁴ + 6y³ + 8y - 15y⁴ - 35y² + 12y³ + 28y

Collect like terms

8y⁴ - 15y⁴ + 6y³ + 12y³ - 35y² + 8y + 28y

-7y⁴ + 18y³ - 35y² + 36y

Therefore, P - Q cannot give us an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

P + Q:

P = 8y⁴ + 6y³ + 8y

Q = (5y² - 4y)(3y² + 7) = (15y⁴ + 35y² - 12y³ - 28y)

P + Q = (8y⁴ + 6y³ + 8y) + (15y⁴ + 35y² - 12y³ - 28y)

Open parentheses

8y⁴ + 6y³ + 8y + 15y⁴ + 35y² - 12y³ - 28y

Collect like terms

8y⁴ + 15y⁴ + 6y³ - 12y³ + 35y² + 8y - 28y

23y³ - 6y³ + 35y² - 20y

Therefore, P + Q will result in an expression equivalent to 23y⁴ - 6y³ + 35y² - 20y.

The answer is D.

If the area of the base of the box is 112 square inches and the height is 3.5 inches, what is the volume of the box?

Answers

Answer: uh i think its 392 inches squared

Step-by-step explanation:

The volume of the box whose area is 112 inch² and height 3.5 inch is

392 inch³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

The area of the box = 112 inch²

The height of the box = 3.5 inch

Now , the volume of the box is given by the equation

Volume of the box = Area of the box × Height of the box

Volume of the box = 112 inch² x 3.5 inch

Volume of the box = 392 inch³

Therefore , the volume of the box is 392 inch³

Hence , the volume of the box whose area is 112 inch² and height 3.5 inch is 392 inch³

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

#SPJ2

express the following into standard form
[tex] \frac{1}{3500000000} [/tex]

Answers

Answer:

350000

P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6

Please help me with all the answers please say like 1: the answer 2: the answer like that thank you so much

Answers

1: 8200,82000,820000 yen
2:12
3:8
4:6
5:4 months

BI
Challenge 2
A: Can you find the
area of the circle?
r=x +1
B: Can you find the
circumference of
the circle?

Answers

Answer:

Area of the circle = pi * r^2 = pi * (x+1) ^ 2

Circumference of the circle = 2* pi * r = 2*pi*(x+1)

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