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Solve for x t...

Question

Solve for x the following equations :
$l o g_{3 x} x = l o g_{9 x} x$

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Solution

$l o g_{3 x} x = l o g_{9 x} x$
$\frac{l o g x}{l o g 3 x} = \frac{l o g x}{l o g 9 x}$
$∵ x \neq 1$ from denominator
$l o g x = 0$
$⟹ x = 1$

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