Question
Solve for $x : \frac{\log 121}{\log 11}=\log x$
✓
Answer
$\frac{\log 121}{\log 11}=\log x $
$ \Rightarrow \frac{\log 11^2}{\operatorname{lo11}}=\log x $
$ \Rightarrow \frac{2 \log 11}{\log 11}=\log x$
$=2=\log x$
$ \Rightarrow 2 \log 10=\log x \ldots($ since $\log 10=1) $
$ \Rightarrow \log 10^2=\log x$
$ \therefore x=10^2 $
$ =100 .$
$ \Rightarrow \frac{\log 11^2}{\operatorname{lo11}}=\log x $
$ \Rightarrow \frac{2 \log 11}{\log 11}=\log x$
$=2=\log x$
$ \Rightarrow 2 \log 10=\log x \ldots($ since $\log 10=1) $
$ \Rightarrow \log 10^2=\log x$
$ \therefore x=10^2 $
$ =100 .$
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