Question

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solve. write your answer as an integer or a fraction in simplest form.
$7^{x+4}=\frac{1}{7}$
$x = \square$

Explanation:

Step1: Rewrite RHS as negative exponent

$\frac{1}{7} = 7^{-1}$

Step2: Set exponents equal (same base)

$x + 4 = -1$

Step3: Solve for x

$x = -1 - 4$

Answer:

$-5$