Question

If 4* - 4*-1= 24, then find the value of x.​

Answer 1

Answer:

1

mathcraz

01.12.2017

Math

Primary School

+5 pts

Answered

If 4^x - 4^x-1 = 24 find the value of x

2

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Answers

Ankit1408

Ankit1408 Ace

Hello users .....

Solution:-

Please see attachment ....

Value of x = 5/2 answer

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arkojotibhowmick2005 Helping Hand

4^x-4^x-1=24

4^x-4^x × 4^-1=24

4^x (1-4^-1)=24

4^x (1-1÷4)=24

(taking LCM)

4^x (4-1÷4)=24

4^x (3÷4)=24

4^x=24×4÷3

(on solving 24÷3 =8)

4^x=8×4÷1

4^x=32

(2^2)^x=2^5

2^2x=2^5

Sice the bases are same we equate the powers,therefore

2x=5

x=5÷2

So the answer is 5÷2 or 2.5

Step-by-step explanation:

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Answer 2

-1 = 24

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