$243^{x} = 3^{2}$
Find the value of x.

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Solution

Given $243^{x} = 3^{2}$
$(3^{5})^{x} = 3^{2}$
$3^{5 x} = 3^{2}$
$5 x = 2 ⟹ x = \frac{2}{5} = 0.4$

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