Question

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solve. write your answer as an integer or a fraction in simplest form.
$3^{3x} = \frac{1}{3}$
$x = \square$

Explanation:

Step1: Rewrite RHS as power of 3

$\frac{1}{3}=3^{-1}$

Step2: Set exponents equal

$3x = -1$

Step3: Solve for x

$x=\frac{-1}{3}$

Answer:

$\boldsymbol{-\frac{1}{3}}$