Question
Solve for $x : (13)^{\sqrt x} = 4^4 - 3^4 - 6$

Answer

$(13)^{\sqrt x} = 4^4 - 3^4 - 6$
$\Rightarrow (13)^{\sqrt x}= 256 - 81 - 6$
$\Rightarrow (13)^{\sqrt x}= 169$
$\Rightarrow (13)^{\sqrt x}= 13^2$
$\Rightarrow \sqrt x = 2$
$\Rightarrow x = 4$

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