Question

if 4^x - 4^x-1=24 then what is the value of (2x)^2

Answer 1

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

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

4^x (1×4 / 1×4 - 1/4 ) = 24

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

4^x × 3 / 4 = 24

4^x = 24 × 4 /3

4^x = 32

2^ 2x = 2^5

2x = 5

x = 5/2

$\mathtt {Hope \: it \: helps}$