Final answer to the problem
$3\log \left(2\right)+\log \left(3\right)$
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Step-by-step Solution
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1
Apply the formula: $\log_{b}\left(mn\right)$$=\log_{b}\left(m\right)+\log_{b}\left(n\right)$, where $mn=3\cdot 2^3$, $b=10$, $b,mn=10,3\cdot 2^3$, $m=2^3$ and $n=3$
$\log \left(2^3\right)+\log \left(3\right)$
2
Apply the formula: $\log_{b}\left(x^a\right)$$=a\log_{b}\left(x\right)$, where $a=3$, $b=10$ and $x=2$
$3\log \left(2\right)+\log \left(3\right)$
Final answer to the problem
$3\log \left(2\right)+\log \left(3\right)$
Exact Numeric Answer
$1.380211$
