Question

Find the value of X in the given question

Answer 1

Answer:

5/2

Step-by-step explanation:

Given 4^x - 4^x - 1 = 24

We can write this as

4^x - 4^x . 4^-1 = 24 since a^m x a^n = a^m + n

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

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

4^x (3/4) = 24

4^x = 24 / 3 x 4

4^x = 32

2^2 x = 2^5

When bases are same exponents are equal.

So 2 x = 5

x = 5/2