Question
Solve for $x : \frac{\log 1331}{\log 11}=\log x$
✓
Answer
$\frac{\log 1331}{\log 11}=\log x$
$ \Rightarrow \frac{\log 11^3}{\log 11}=\log x$
$ \Rightarrow \frac{3 \log 11}{\log 11}=\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 11^3}{\log 11}=\log x$
$ \Rightarrow \frac{3 \log 11}{\log 11}=\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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