$$216 = 6^4x$$
Answer
$$ x = \frac{1}{6} $$
Explanation
$$ \begin{aligned} 216 &= 6^4x&& \text{simplify right side} \\[1 em]216 &= 1296x&& \text{ swap the left and right side of the equation } \\[1 em]1296x &= 216&& \text{ divide both sides by $ 1296 $ } \\[1 em]x &= \frac{216}{1296}&& \\[1 em]x &= \frac{1}{6}&& \\[1 em] \end{aligned} $$
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