Question

solve. write your answer as an integer or a fraction in simplest form.
$4^{2x - 1} = 64$
$x = $

Explanation:

Step1: Express both sides as base 4

$4^{2x-1}=4^3$

Step2: Set exponents equal

$2x - 1 = 3$

Step3: Solve for x (add 1)

$2x = 3 + 1 = 4$

Step4: Isolate x (divide by 2)

$x = \frac{4}{2}$

Answer:

$2$