Final answer to the problem
$x=3,\:x=-3$
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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 $x=81$
$\frac{\log_{81}\left(81\right)}{\log_{81}\left(x\right)}=4$
Learn how to solve equazioni logaritmiche problems step by step online.
$\frac{\log_{81}\left(81\right)}{\log_{81}\left(x\right)}=4$
Learn how to solve equazioni logaritmiche problems step by step online. logx(81)=4. Apply the formula: \log_{a}\left(x\right)=\frac{\log_{x}\left(x\right)}{\log_{x}\left(a\right)}, where a=x and x=81. Apply the formula: \log_{b}\left(b\right)=1, where b=81. Apply the formula: \frac{a}{x}=b\to \frac{x}{a}=\frac{1}{b}, where a=1, b=4 and x=\log_{81}\left(x\right). Apply the formula: \frac{x}{1}=x, where x=\log_{81}\left(x\right).
Final answer to the problem
$x=3,\:x=-3$
