solve. write your answer as an integer or a fraction in simplest form.\n$5^{4x - 4} = 25$\n$x = $

Explanation:

Step1: Express both sides with the same base

$$5^{4x - 4} = 5^{2}$$

Step2: Equate the exponents

$$4x - 4 = 2$$

Step3: Add 4 to both sides

$$4x = 6$$

Step4: Divide by 4 and simplify the fraction

$$x = \frac{6}{4} = \frac{3}{2}$$

Answer:

x = \frac{3}{2}