Question
Solve for $x : \frac{\log 27}{\log 243}= x$

Answer

$ \frac{\log 27}{\log 243}= x$
$\Rightarrow \frac{\log 3^3}{\log 3^5}= x$
$\Rightarrow \frac{3 \log 3}{5 \log 5}= x$
$\Rightarrow x=\frac{3}{5}$

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