Question
Solve for $x : \frac{\log 125}{\log 5}=\log x$
✓
Answer
$\frac{\log 125}{\log 5}=\log x$
$ \Rightarrow \frac{\log 5^3}{\log 5}=\log x $
$ \Rightarrow \frac{3 \log 5}{\log 5}=\log x $
$\Rightarrow 3=\log x $
$ \Rightarrow 3 \log 10=\log x \ldots($ since $\log 10=1) $
$ \Rightarrow \log 10^3=\log x$
$\therefore x=10^3 $
$= 1000 .$
$ \Rightarrow \frac{\log 5^3}{\log 5}=\log x $
$ \Rightarrow \frac{3 \log 5}{\log 5}=\log x $
$\Rightarrow 3=\log x $
$ \Rightarrow 3 \log 10=\log x \ldots($ since $\log 10=1) $
$ \Rightarrow \log 10^3=\log x$
$\therefore x=10^3 $
$= 1000 .$
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