Question

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solve. write your answer as an integer or a fraction in simplest form.
$36^x = 6$
$x = $

Explanation:

Step1: Rewrite base as power of 6

$36^x = (6^2)^x = 6^{2x}$

Step2: Set exponents equal

Since $6^{2x}=6^1$, equate exponents: $2x=1$

Step3: Solve for x

$x=\frac{1}{2}$

Answer:

$\frac{1}{2}$