See the attachment below for the question.

The correct answer is third option

x = 3

Step-by-step explanation:

It is given that,

4ˣ = 8⁽ˣ ⁻ ¹⁾

To find the value of x

4ˣ  = (2²)ˣ

8⁽ˣ ⁻ ¹⁾ = (2³)⁽ˣ ⁻ ¹⁾

4ˣ = 8⁽ˣ ⁻ ¹⁾

(2²)ˣ =  (2³)⁽ˣ ⁻ ¹⁾

2²ˣ = 2⁽³ˣ ⁻ ³⁾

2x = 3x - 3

3x - 2x = 3

x = 3

The correct answer is third option

x = 3

Third option.

Step-by-step explanation:

We need to remember that:

In this case, given this expression:

We need to descompose 4 and 8 into their prime factors:

Rewriting the expression:

Then:

Finally, applying Distributive property on the right side and solving for "x", we get:

step-by-step explanation: