Question
Find $x,$ if : $\log_9243 = x$
✓
Answer
Consider the equation
$ \log _9 243=x$
$ \Rightarrow 9^x=243 $
$ \Rightarrow\left(3^2\right)^x=3^5$
$\Rightarrow 3^{2 x}=3^5$
$\Rightarrow 2 x=5$
$\Rightarrow x=\frac{5}{2}$
$\Rightarrow x=2 \frac{1}{2}$
$ \log _9 243=x$
$ \Rightarrow 9^x=243 $
$ \Rightarrow\left(3^2\right)^x=3^5$
$\Rightarrow 3^{2 x}=3^5$
$\Rightarrow 2 x=5$
$\Rightarrow x=\frac{5}{2}$
$\Rightarrow x=2 \frac{1}{2}$
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