Question

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solve. write your answer as an integer or a fraction in simplest form.
$25^{2x} = 5^{2x - 4}$
$x = $

Explanation:

Step1: Rewrite base 25 as 5 squared

$25^{2x} = (5^2)^{2x} = 5^{4x}$

Step2: Set exponents equal (same base)

$4x = 2x - 4$

Step3: Isolate x terms

$4x - 2x = -4$
$2x = -4$

Step4: Solve for x

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

Answer:

$-2$