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

After 2 weeks of training Amanda learned a total of 5 appetizer recipes after 6 weeks of training how much appetizers will she learn

Answers

Answer:

15

Step-by-step explanation:

After 6 weeks of training, Amanda will learn 15 recipes.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Recipes learned by Amanda after 2 weeks of training = 5.

After 6 weeks of training, the number of recipes are required.

To find the number of recipes,

Use ratio property,

After 2 weeks of training = 5 recipes

After 1 week of training = 5/2 recipes.

Therefore, after 6 weeks of training = (5/2) x 6 = 15 recipes.

Amanda will learn 15 recipes after 6 weeks of training.

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$5.97 / 2

please show your work! I'll give brainliest to whoever shows work.

Answers

Answer:

2.99

Step-by-step explanation:

1.) 2 goes into 5 2 times. So the 2 goes on top of the division sign

2.) 2x2=4

3.) Move 4 below 5

4.) Subtract 5-4=1

5.) Bring down 9

6.) 2 Goes into 19 9 times

7.) 2x9=18

8.) 19-18=1

9.) Bring down the 7

10.) 2 Goes into 17 8 times

11.) 2x8= 16

12.) 17-16=1

13.) Add a zero onto the end, bring down that zero

14.) 2 goes into 10 5 times.

15.) Round answer to 2.99 because with money you only have two decimals

The answer is 2.99 you could use a calculator to find your answer!

what number is 1/10 of 8000000

Answers

Answer:

800000

Step-by-step explanation:

A box contains three types of fruits:
apples, bananas, and pears. There are
20 pieces of fruit in all. Of these, 3 are
apples and 11 are bananas. What is the
ratio of pears to bananas?
A 6: 11
B 11 : 6
C 3:11
D 11:3

Answers

A.
11+3 then minus 20

Answer:

A

Step-by-step explanation:

is this a keep, change, change?
-9-8

Answers

Answer:

Yes, they cancel each other out.

Step-by-step explanation:

Personally never liked the keep, change, change method. Pemdas is what I use, however this is an easy one so nothing so major.

Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying a scarves what do the parts of the expression 48s represents

Answers

The expression 48s represents the cost of the scarves.

Given

Emiko makes Shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves.

Let s represent the price of the scarves.

The cost of each scarves is 48.

Therefore,

The cost of scarves = Number of scarves × cost of each scarves.

The cost of scarves = s × 48

The cost of scarves = 48s

Hence, the expression 48s represents the cost of the scarves.

To know more about Expression click the link given below.

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Answer:In the expression 48s ,represents the number of scarves and 48 represents  the price per scarf

Step-by-step explanation:

HELP!!!! (zoom in to see it better)

Answers

Answer:

C and D

Step-by-step explanation:

The lines are parallel to eachother dont worry about what the lines is in the middle

for the second question, it is the same thing, the lines are both going straight

which means that they are parallel

Answer:

C and D

Step-by-step explanation:

|2x+5|-4=16 find both answers

Answers

Answer:

x=7.5 and x=-12.5

Step-by-step explanation:

|2x+5|-4=16

|2x+5|=20

2x+5=20

2x=15

x=7.5

2x+5=-20

2x=-25

x=-12.5

The ratio of the number of men to the number of women in a room is 7 : 4. There are 9 more men than women. How many people are there in the room?

Answers

Answer:

33 people

Step-by-step explanation:

7x = 4x + 9

3x=9

x=3

7(3) = 21

4(3) = 12

33 people

HELP ME PLSSS SOMEONE HELPP ILL GIVE BRAINLIEST

tom sold 3 cars ( a total value of $112,500) in the month of january. it is paid only by commission for its seller. he receives a commission of 7%. what is tom’s salary for the month of january?

Answers

Answer:

First multiply 112,500 times 3 (because of the 3 cars) answer should be $337,500

Then do the percentage (7%) $23,625

I believe that 23625 is the answerrr

What are the coordinates for the park ?

Answers

Answer: hey panini

Step-by-step explanation:

An airplane cover 1020km in an hour. How much distance will it cover in 25/6 hours

Answers

Answer:

4250 km

Step-by-step explanation:

If we convert 25/6 into a mixed fraction, we get 4 1/6. Since we already know the plane goes for four hours already, we can multiply 1020 km x 4. That would give us 4080. Now that we converted the equation into a mixed fraction, we also know that the plane goes for an extra 1/6 hour. We divide 1020/6 because it is a sixth of an hour and the plane can travel 1020 in an hour. We get 170 km for 1/6 of an hour.

4080km + 170km= 4250 km

Given : An airplane cover 1020km in an hour.

To Find : How much distance will it cover in 25/6 hours .

Solution : It is given that an airplane covers 1020 km in one hour , this implies that the speed of the airplane is 1020km/hr .

Now , it is asked to find that how much distance it will cover in 25/6 hours .

Here ,

Speed = 1020km/hr .Time = 25/6 hr .Distance = ? .

★ We know a relation between speed , distance & time as ,

[tex]\boxed{\red{\bf Distance = Speed \times time }}[/tex]

⇒ Distance = Speed × Time .

⇒ Distance = 1020km/hr × 25/6 hr .

Distance = 4250 km .

Hence the distance travelled is 4250km.

Stacy has 6 fewer than half as many marbles as Mallory .If Stacy has thirty marbles how many does Mallory have

Answers

Answer:

72

Step-by-step explanation:

Stacy has 30 marbles

Let m= the number of marbles that mallory has

stacy has 1/2 m -6

30 = 1/2 m -6

Add 6 to each side

30+6 = 1/2m

36 = 1/2m

Multiply each side by 2

72 = m

Mallory has 72 marbles

Answer:

72

Step-by-step explanation:

I'm cool and the guy above me stinko

in quadrilateral abcd below,

Answers

Answer: where is the quadrilateral

Step-by-step explanation:

What is the result of 4 divided by StartFraction 8 Over 12 EndFraction?

4 boxes of 12 squares
One-sixth
StartFraction 3 Over 8 EndFraction
3
6

Answers

Answer:

the answer is 1/6

i got it right edg 2020

Step-by-step explanation:

dont come at me because we had the same answer

Answer: 1/6

Step-by-step explanation:

Please answer this correctly without making mistakes

Answers

Answer: 96%

1 square represent 1%

Answer:

96 present

Step-by-step explanation:

Free pints get it lolololo​

Answers

Answer:

Yayee

Step-by-step explanation:

Hahahahahha
Jags rvhdv f hdidbdjbfjfoc. S in thrift Nd

The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12.
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
Of(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
O f(x) = 5x + 2

Answers

Answer: I think it’s f(x)=2x+2

Step-by-step explanation:


A person with a height of 2 meters stand near a tree. The tree casts a shadow that is 30 meters long and the person has a shadow that is 3
meters long. What is the height of tree

Answers

9514 1404 393

Answer:

  20 m

Step-by-step explanation:

The 30 m shadow of the tree is 10 times the 3 m length of the person's shadow. We expect the tree to be 10 times as tall as the person:

  10(2 m) = 20 m . . . height of the tree

Plzz answers its easy points!!!! im just really dumb!!!!

Answers

Answer:

see below

Step-by-step explanation:

V = Bh where B is the area of the base and h is the height

Divide each side by h

V/h = Bh/h

V/h = B

36/6 = B

6 = B

The area of the base is 6 in^2

I need help in math please I am not able to figure these out, I will give you the brainlest and thank you.

Answers

Answer:

A. -7 A2. -7

B.-14 B2. 2

C.-14 C2.14

D. 1 D2. -7

9514 1404 393

Answer:

  a. -7, -7

  b. -14, 2

  c. -14, -14

  d. 1, -1

  e. misuse of the associative property leads to different results

Step-by-step explanation:

Your calculator (or a spreadsheet) can figure these easily.

a. -12 +(-4 +9) = 12 +5 = -7

  (-12 +(-4)) +9 = -16 +9 = -7

__

b. (14 -20) -8 = -6 -8 = -14

  14 -(20 -8) = 14 -12 = 2

__

c. (14 +(-20)) +(-8) = -6 -8 = -14

  14 +(-20 +(-8)) = 14 +(-28) = -14

__

d. -1 -(-1 +(-1)) = -1 -(-2) = -1 +2 = 1

  (-1 -(-1)) +(-1) = (-1+1) -1 = 0 -1 = -1

__

e. The associative property works for addition. When the associative property is used to rearrange subtraction problems, the minus signs need to be kept with the numbers, as in (c). That is, the problem needs to be expressed as a sum of signed numbers.

In (d), the term -(-1 +(-1)) was broken in the middle when the sum was rearranged for the second expression. Only terms in the same level of parentheses can be rearranged by the associative property.

Describe how to plot point A(-6, 2) on a coordinate plane.

Answers

Answer:

Read the explanation

Step-by-step explanation:

Go to desmos (website) and open the Graphic Calculator (or you can use any graphic calculator) . Then in one of the text boxes on the side write A(-6,2) and it'll plot it. Or make a paper graph (Make sure the lines are spaced out correctly) and go to -6 on the x axis and 2 on the y axis, the point in which those 2 intecept is the plotted dot. Or print a graph and plot it there, both work.

A rope is 12 meters long. You cut off 15/6 of the rope. How much is left?
Can you please add a step by step

Answers

Answer:

4.8

Step-by-step explanation:

15/6 is 2.5 whitch when divided by 12 is 4.8 so 12 divided by 2.5 is 4.8

Answer:

4.8 meters

Step-by-step explanation:

[tex]\frac{15}{6} = 2.5[/tex]  12 ÷ 2.5 = 4.8 meters

I hope this helps!

Dean walked from the library to the mall. For the
first 12 minutes, he walked at a speed of 80
m/min, but then he slowed his speed to 68
m/min for next 7 minutes. If he was still 130 m
away from the mall, what was the distance
between the library and the mall?

Answers

905 mph because of the 7 minutes

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!

find the equation of the graphed function.
f(x)= _________​

Answers

Answer:

y =(x+3) ^2

Step-by-step explanation:

The zero is -3 and it  is the vertex  (-3,0)

Using the vertex form of a parabola  where  ( h,k) is the vertex

y = a( x-h)^2 +k

y =a(x- -3) ^2+0

y =a(x+3) ^2

We also know another point is ( -1,4)

Substituting that point into the equation

4 = a( -1+3) ^2

4 = a( 2)^2

4 = a*4

Divide each side by 4

1 =a

The equation is

y =(x+3) ^2

3.08 + 8.94 Find the sum

Answers

Answer:

5.86

Step-by-step explanation:

3.08+8.94=12.02
the answer is 12.02

ms.smith bought a 5 pound bag of candy for her 6th grade classroom.She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.How many ounces of candy does Ms.Smith still have in her bag?

Answers

Answer:

42

It was on my test I put 42 a day later i checked my test the answer was correct. Sorry that I didn't really have a explanation.

But at least its correct.

Ms. Smith still have 42 ounces of candy in her bag.

What is Subtraction?

To subtract means to take away from a group or a number of things.

Given that Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.

1 pound = 16 ounces

She gave away 2 out of 5 pounds, so she is left with 5 - 2 = 3 pounds

3 pounds = 16*3 ounces = 48 ounces

She ate 6 ounces of candy

Therefore, she now has, 48 - 6 = 42 ounces of candies left with her.

Hence, Ms. Smith still have 42 ounces of candy in her bag.

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i’ll literally give you 45 points but please answer it correctly i have a D in math class

Answers

I wrote out the answers on top of the sheet. Hope this helped!

5. Mrs. Correa bought a box of 72 pencils and kept 30 of them for herself. She gave the rest to her 6 children so that each had the same number of pencils. Which expression could be used to find the number of pencils each child received? *

Answers

Answer:

(72-30)/6 = 7 is the equation

72-30=42

42/6=7

Step-by-step explanation:

Good luck! <3

Answer:

(72-30) divided by 6

Step-by-step explanation:

You subtract 30 from 72 because Ms.Correa is going to keep them. Then you divide that by 6 of her children to get your answer. 72-30=42, 42/6 = 7

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