Final answer to the problem
$x=\log_{2}\left(7\right)$
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1
Apply the formula: $a^x=b$$\to \log_{a}\left(a^x\right)=\log_{a}\left(b\right)$, where $a=2$ and $b=7$
$\log_{2}\left(2^x\right)=\log_{2}\left(7\right)$
2
Apply the formula: $\log_{b}\left(b^a\right)$$=a$, where $a=x$ and $b=2$
$x=\log_{2}\left(7\right)$
Final answer to the problem
$x=\log_{2}\left(7\right)$
Exact Numeric Answer
$x=2.8073549$
