Final answer to the problem
$x=2$
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Apply the formula: $\log_{a}\left(x\right)$$=\frac{\log_{x}\left(x\right)}{\log_{x}\left(a\right)}$, where $a=x$ and $x=32$
$\frac{\log_{32}\left(32\right)}{\log_{32}\left(x\right)}=5$
Learn how to solve equazioni logaritmiche problems step by step online.
$\frac{\log_{32}\left(32\right)}{\log_{32}\left(x\right)}=5$
Learn how to solve equazioni logaritmiche problems step by step online. logx(32)=5. Apply the formula: \log_{a}\left(x\right)=\frac{\log_{x}\left(x\right)}{\log_{x}\left(a\right)}, where a=x and x=32. Apply the formula: \log_{b}\left(b\right)=1, where b=32. Apply the formula: \frac{a}{x}=b\to \frac{x}{a}=\frac{1}{b}, where a=1, b=5 and x=\log_{32}\left(x\right). Apply the formula: \frac{x}{1}=x, where x=\log_{32}\left(x\right).
Final answer to the problem
$x=2$
