Answer
$log(\sqrt[3] {x^3+1}\sqrt {x^2+1})$
Work Step by Step
$\frac{1}{3}log(x^3+1)+\frac{1}{2}log(x^2+1)=log(\sqrt[3] {x^3+1})+log(\sqrt {x^2+1})=log(\sqrt[3] {x^3+1}\sqrt {x^2+1})$
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