Write the expression as a single logarithm.

log₄ 2x - log₄ 6y

Answers

Answer 1

Answer:

[tex]log_{4}(\frac{2x}{6y})[/tex]

Step-by-step explanation:

According to the Quotient Rule (Logarithmic Property):

[tex]log_{a}x - log_{a}y = log_{a}(\frac{x}{y})[/tex]

Therefore, you could combine the logarithmic expressions as:

[tex]log_{4}2x - log_{4}6y = log_{4}(\frac{2x}{6y})[/tex]

Optional:

If ever you're required to simplify it further, [tex]log_{4}(\frac{2x}{6y})[/tex] will be:

[tex]log_{4}(\frac{2x}{6y}) = log_{4}(\frac{x}{3y})[/tex]


Related Questions

If a salesclerk earns $5.75 per hour,
how many hours per week does she
work to earn her weekly salary of
$207?
F 30 hours
G 32 hours
H 36 hours
J 4 hours

Answers

Therefore statement: The salesclerk needs to work 36 hours per week to earn her weekly salary.

5.75 x 36 = 207

All you need to do is take the amount of money made per hour and multiply that by any number of hours in the options below. Basically trial and error

troy is twice as old as michelle. the difference is their age is 16. How old is troy?

Answers

Answer:

Troy is either 16 or 32.

Step-by-step explanation:

Sorry for not giving the exact answer the question is worded badly..

Answer: 32

Step-by-step explanation:

16 + 16. if you break it down, you can get 8 x 4. so if you count 8, 16, 24, (32) is your answer.

what is 8x6huhvgjjjjhhjhojhkojkljfkgjkjkgjkdfjkfdjtjrjgjhghhjghtrht4khtrgvgjbhhjjhjhjj

Answers

Answer:

48

Step-by-step explanation:

The answer to 8x6 is 48.

the correct answer to 8x6 is 48

Which one in a natural number
5/7
4.1
1.18
-6

Answers

Answer:

4.1 I think

Step-by-step explanation:

which equation is equivalent to the given equation x^2 -6x =8

Answers

Answer:

x^2 - 6x + 8 = 0

Step-by-step explanation:

Answer:

(x-3)^2 = 17

Step-by-step explanation:

Plato/Edmentum

PLSSSS HELP ME WITH THIS QUESTION, IM DESPERATE PLSSSSS

Answers

Answer:

979

Step-by-step explanation:

d+{a×(n-1)}

-11+(10×99)

It’s h since 10 times 100 is 1000 you take the negative 11 and combine them leaving you with 989

why is this even a question
x + y - a = t
help

Answers

Answer:

x+y=t+a

Step-by-step explanation:

its seems to be the unwanted question

x+y = a+t

(x is the subject) x=a+t-y
(y is the subject) y=a+t-x
(a is the subject) a=x+y-t
(t is the subject) t=x+y-a

Please help me with this question!

Answers

It’s C,
Hope it helps,
Message me if you want explanation,
Can I get brainliest answer

Please answer 25 points!

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

that's just the correct answer, I know.

Will mark brainliest !!!
Solve for x.
23=1000

Answers

Answer:

x=10

Step-by-step explanation:

10x10x10 =1000

10^3=1000

Answer:

x = 10

Step-by-step explanation:

x cubed is 1000

so x times x times x equals 1000

10 times 10 times 10 = 1000

10^3=1000

Find each side of the triangle if the perimeter is 46
2x + 6
2(x – 4)
x + 3

Answers

Answer:

s+s+s =p

2x+6+2(x-4)+x+3=p

2x+ 6 + 2x-8+x+3=p

GCF of 28, 48, and 64

Answers

Answer:

14

Step-by-step explanation:

Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between the two brands shown. Explain how Jacob can determine which is the better value.

Answers

Answer:

Jacob could compare the unit rates of cost per ounce. The unit rate that is less per ounce is the better deal. Not He can look at the cost per ounces!

Step-by-step explanation:

Answer:

Compare the unit rates.

The unit rate shows the cost for each ounce.

The lesser unit rate costs less per ounce.

The brand with the lesser unit rate is the better value.

Step-by-step explanation:

suppose today is Thursday, what day of the week will it be after 20days, 50days, 70days n 100 days​

Answers

Answer:

Wednesday, Friday, Thursday Saturday

Step-by-step explanation:

Find the change below as a percentage. Then choose whether it is a percent of increase or a percent of decrease.
Change from 32 miles to 24 miles.
х
G
Percentage change: 196
This is a percent of increase.
This is a percent of decrease.
Need help with this question?

Answers

Answer:

increase

Step-by-step explanation:

the change from 32 miles to 24 is decrease is 8 difference. % change to 196 is an increase.

The percentage change is 25% and it is a percent of increase.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

To find the percentage change from 32 miles to 24 miles, we first need to calculate the absolute change:

Absolute change = Old value - New value

Absolute change = 32 miles - 24miles

Absolute change = 8 miles

Percentage change = (Absolute change / Old value) x 100%

Percentage change = (8 miles / 32 miles) x 100%

Percentage change = 25%

Which means there is a 25% increase from 32 miles to 24 miles.

Therefore, the percentage change is 25% and it is a percent of increase.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ7

Perry, Maria, and Lorna are painting rooms in a college dormitory. Working alone, Perry can paint a standard room in 3 hours, Maria can paint a standard room in 2 hours, and Lorna can paint a standard room in 2 hours 30 minutes. Perry, Maria, and Lorna have decided that, to speed up the work, 2 of them will paint a standard room together. Select the value closest to the shortest time in which a 2-person team could paint a standard room, and select the value closest to the longest time in which a 2-person team could paint a standard room, with each person working at his or her respective rate. Make only two selections, one in each column.

Shortest time Longest time
49 minutes
1 hour 7 minutes
1 hour 12 minutes
1 hour 14 minutes
1 hour 22 minutes
1 hour 45 minutes

Answers

Answer:

1hour and 14 minutes

Step-by-step explanation:

maria and lorna 2 divdide by 2 is 1 and 30 - 16 is 14

line l contains points (-2,4) and (1,-9). Point P has coordinates (14,-6) answer

Answers

We are given a line and a point, I assume that we want to see if the point is on the line or not.

We will see that the point does not belong to the line.

First, let's find the equation of the line.

A general line can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we know that our line passes through the points (-2, 4) and (1, -9). Then the slope is:

[tex]a = \frac{4 - (-9)}{-2 - 1} = \frac{13}{-3} = -\frac{13}{3}[/tex]

Then our line is something like:

[tex]y = -\frac{13}{3} *x + b[/tex]

To find the value of b, we can use one of the two points that we know that are on the line.

For example, the point (-2, 4) means that when x = -2, we must have y = 4.

Replacing that in the equation we get:

[tex]4 = -\frac{13}{3} *(-2) + b\\\\4 = \frac{26}{3} + b\\\\4 - \frac{26}{3} = b\\\\\frac{-14}{3} = b[/tex]

Now we can write the line equation as:

[tex]y = -\frac{13}{3} *x - \frac{14}{3}[/tex]

Now we need to see if the point (14, -6) belongs to the line.

To see this, we evaluate the line in x = 14.

[tex]y = -\frac{13}{3} *14 - \frac{14}{3} = -\frac{196}{3}[/tex]

This is different than -6, so the point does not belong to the line.

If you want to learn more, you can read:

https://brainly.com/question/20632687

Higher Order Thinking A full tank that holds 11.6 gallons of
gasoline is using 1.45 gallons per hour. Is the tank more than
half full of gasoline after 3.5 hours? Explain your answer

Answers

Answer:

Yes ! After 3.5 hours, it will be over half full !

Step-by-step explanation:

In the photo :)

Jesse asked his parent for at least $50 to go
Chipotle with her friends.
Let m represent the amount of money that Jesse
gets from his parents.
Write an inequality to represent his request.

Answers

Answer:

m ≥ $50

Step-by-step explanation:

So Jesse needs at least $50, so she can get more

The symbol ≥ shows that you can have the amount and more than this amount

So m ≥ $50, which represents that  she can get $50 or more

-Chetan K

PLEASE HELP
suppose

Answers

Answer:

steps below

Step-by-step explanation:

3 = 2/3 m

m = 9/2

by the matrix property of associative: (A+B)+C = A+(B+C)

H = [-2  8  -1]

m x H = 9/2 x [-2  8  1] = [-9  36  -9/2]

What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width

of 2oin, and a length of 19in?

Answers

Answer:

Rectangular Prism: V = lwh · Surface Area of Rectangular Prism: S = 2(lw + lh + wh) · Space Diagonal of Rectangular ...

Please help this is due in literally 8 minutes HELP PLEASE!!!

Answers

With what ?
You gotta submit a question or a picture so someone can help

Answer:

There is no question given so how is there an answer?

Step-by-step explanation:

2. Which equation has no solution?

O8y + 22 = 6y +2(y +11)

Oc+c+ 11 = c+11

O 49 - 2(a+1) = q + 2

05(p - 10) = 2p+3(p+7)
-

Answers

Answer: 5(p - 10) = 2p+3(p+7) has no solutions whatsoever

Step-by-step explanation: its a bit too much to explain, trust me

Find the value of x

x - 2/3 = x - 6

Answers

There are no values of x to make this equation true

a man gets a job with a salary of $30,500 a year. he promised a $2,300 raise each subsequent year.
During his 5-year period his total earnings are $____

Answers

$152,500

explaination:
he makes $30,500 per year for five years with a raise of $2,300 every year
30,500 x 5 = $152,500
find the amount of money he gets from his raises
$2,300 x 5 = $6,500
adding the raise money
152,500 + 6,500 = $159,000

Hi I’m suppose to write an equation and solve for it. I can’t figure out what I’m doing, it’s a straight angle. Thank you if you figure this out!

Answers

Answer:

Equation: 4x+28= 180

x= 38

Step-by-step explanation:

To solve, you should start by trying to find "x". To do this you can use the expression "4x+28= 180"

TO solve 4x+28= 180, first subtract 28 from both sides:

4x= 152

Then divide by 4;

x= 38

Check your work:

M<1= 38+10 -------> 48

M<2= 114+18 -------> 132

132+48= 180

Hope this helps!

what is the measure of

Answers

The two given angles add together to make a linear pair, which is 180 degrees.

(2x + 8) + (2x) = 180

4x + 8 = 180

4x = 172

x = 43

Angle ABC = 2(43) + 8 = 86 + 8 = 92 degrees

Hope this helps!! :)

ALRIGHTY, HELP MEH PLZ! YOU'LL GET BRAINLIEST IF YOU'RE RIGHT!

Answers

Please post the question dear!

Answer:

how can I help u plz can u say

find the value of f(5)

Answers

Answer:

The answer is 4.

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

Spot the mistake! help please

I will give 5 stars and a favorite

Answers

Answer: Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be 2^3+^2= 2^5

Other Questions
How does dAelders portrayal of women contrast with Fragonards? How many hydrogen atoms are there in all the reactants? Answer and explain:What do you consider as being "well" or being "healthy" ?Is there more than just physical health?What other aspects of health do you consider important to you?What do you do to be healthy in all aspects of your life? Explain the premise of unstructured socializing with peers and it's link to antisocial behavior and substance use among adolescents? In Unwind by Neal Shusterman, What are the heros journey steps?Please show page numbers. Solving Two Step Equations 9x + 6/3 = 5x + 2 Which of the following sentence is missing a verb? What is 6% of 24.55 rounding to the nearest hundredth I need help with these please What was the purpose of the Stamp Act?A.to stop town meetings in BostonB. to require colonists to pay a tax on paper, dice, and playing cardsC.to declare that Britain had total control over colonial activitiesD. to stop American colonists from settling in the Midwest Draw a flow chart showing the conversion of temperature from farenheit to degree celsius Wyoming Restoration Company completed the following selected transactions during July 20Y1: July 1. Established a petty cash fund of $1,200. 12. The cash sales for the day, according to the cash register records, totaled $8,356. The actual cash received from cash sales was $8,389. 31. Petty cash on hand was $217. Replenished the petty cash fund for the following disbursements, each evidenced by a petty cash receipt: July 3. Store supplies, $510. 7. Express charges on merchandise sold, $90 (Delivery Expense).9. Office supplies, $30. 13. Office supplies, $35. 19. Postage stamps, $50 (Office Supplies). 21. Repair to office file cabinet lock, $60 (Miscellaneous Administrative Expense). 22. Postage due on special delivery letter, $28 (Miscellaneous Administrative Expense). 24. Express charges on merchandise sold, $135 (Delivery Expense). 30. Office supplies, $25. July 31. The cash sales for the day, according to the cash register records, totaled $10,289. The actual cash received from cash sales was $10,275. 31. Decreased the petty cash fund by $100.Journalize the transactions. Which of the following is an acceptable body fat range for a male client?A.6-9%B.10-14%C.15-18%D.19-23% An accountant passed the closing entries of the expenses and then closed all the expense accounts by crediting them. Which account should she debit to complete the dual aspect of the journal entry?A. income accountB. income summary accountC. revenue accountD. purchase accountE. equity account pls helpppp!!! It's due tonight :( I'll give brainliest and 50 points (Pls only real answers if its a fake one I'll report :.] ) (Counterclaim Paragraph) (Number of sentences and what they should include)1) Acknowledge your opponents first potential argument2) State your disagreement.3) Prove your disagreement with specific evidence that counters your opponents.4) Acknowledge your opponents second potential argument5) State your disagreement.6) Prove your disagreement with specific evidence that counters your opponents.7) Concluding sentence that closes the counter-arguments and acknowledges your thesis.My topic, Public transportation SHOULD be free for city residents. pls help me :(For my first sentence, I said,Some may believe public transit wouldn't be safe. (pls help me finish it :)) ) Please please help me with this question just help me on (C) I need help lollololol 4. "Eleven subtracted from the quotient of anumber and five is -13."How do I write this equation?? HELP need help...................... If i were to leave my parents house at 17 without their consent in missouri, what could happen?