3^x - 3^(x-1) = 18 then 4^x is equal to

Answers

Answer 1
Answer: 3^x-3^(x-1)=18\n\n3^x-3^x\cdot3^(-1)=18\n\n3^x-(1)/(3)\cdot3^x=18\n\n(2)/(3)\cdot3^x=18\ \ \ /\cdot(3)/(2)\n\n3^x=27\n\n3^x=3^3\iff x=3\n------------------\n4^x=4^3=64\leftarrow answer
Answer 2
Answer: 3^x - 3^(x-1) = 18\n 3^x-3^x\cdot3^(-1)=18\n 3^x(1-(1)/(3))=18\n 3^x\cdot(2)/(3)=18\n 3^x=27\n x=3\n\n 4^x=4^3=64

Related Questions

8z=112 solve the equation
Darryl’s credit card has a minimum monthly payment of 2.51% of the card’s balance. If Darryl currently owes $1,431.72, what is his minimum payment, to the nearest cent?
Two angles in a triangle add up to 135 degrees what is the size of the third angle?
If n ≠ 0, which of the following must be greater than n?I 2n II n² III 2 - n
(5x + 6x3 + 2x) - (3x - 2x3 - 7x2) is equivalent to:8x3 + 12x2 - XB4x3 -- 5x2 - xC-4x3 + x2 + 6x2x3 + 4x2 -- 5x

How do you know 37? I don't understand, do you add another line connecting it to make a whole triangle or ..I don't understand..

Answers

Hello,
The 3th angle of the triangle is the supplement of 3x-8:
180-(3x-8)=180-3x+8=188-3x

The sum of all angles of the triangle is 180
180=2x+21+188-3x
==>180=-x+21+188
==>x=21+188-180
==>x=21+8
==>x=29


The Nelson family drank of a gallon of orange juice on Saturday morning and of a gallon of orange juice on Sunday morning. How much orange juice did they drink in All

Answers

Answer:

2 gallons of orange juice

Step-by-step explanation:

If the class started at 11:30 A.M. and ended at 12:25 P.M., how long did the class last?

Answers

Answer:

55 minutes

Step-by-step explanation:

herky is putting money into a savings account on a weekly basis to buy a dvd player that costs $179.40 including tax. he asks mario how much he should save per week to buy the player in 8 weeks if he already has $35.00 saved. mario gives him the answer and explains how he found the answer. what does mario say?

Answers

35 + 8w = 179.40
8w = 179.40 - 35
8w = 144.40
w = 144.40/8
w = 18.05 per week

Answer:a

Step-by-step explanation:

What is the temperature change from 20 to -10?

Answers

Answer:30 degrees Fahrenheit

Step-by-step explanation:

The temperature change decreased 30 degrees.

I hope this helped! Brainliest? :) -Raven❤️

PLEASE HELP I WILL GIVE BRAINLIEST TO SAMPLE RESPONSE OR BEST ANSWER!The equation that represents the canned goods order is
24x + 4y = 384, where x = number of minutes spent
producing fruit cans, and y = number of minutes
producing vegetable cans.
If the vegetable assembly line runs for 3 minutes, how
many minutes would the fruit assembly line need to run to
complete the order of 384 cans? Explain

Answers

Answer:

8 minutes.

Step-by-step explanation:

24x + 64y = 384, that represents the canned goods order .

where x = number of minutes spent producing fruit cans,

and y = number of minutes producing vegetable cans.

If the vegetable assembly line runs for 3 minutes, then put y=3 in equation we get

Therefore,  the fruit assembly line need to run to complete the order of 384 cans in 18 minutes.

Answer:

Substitute 3 into the equation for y. Solve for x and find that x = 8. So if cans of vegetables are processed for 3 minutes, fruit needs to be processed for 8 minutes to complete the 384-can order.

Step-by-step explanation:

Other Questions