Question

Please answer this question fast it's urgent
$4 ^x - 4 ^x - 1 = 24$
* it's 4raise to x-1​

Answer 1

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

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

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

4^x (3/4) = 24

4^x = 24 × 4/3

4^x = 32

4^x = 2^5

(2²)^x = 2^5

2^2x = 2^5

=> 2x = 5

thus, x=5/2