Answer
$\log (\left( x^{3}+1\right) ^{\frac {1}{3}}\times \left( x^{2}+1\right) ^{\frac {1}{2}})$
Work Step by Step
We use the rules of logarithms to obtain:
$\dfrac {1}{3}\log \left( x^{3}+1\right) +\dfrac {1}{2}\log \left( x^{2}+1\right) =\log (\left( x^{3}+1\right) ^{\dfrac {1}{3}}\times \left( x^{2}+1\right) ^{\dfrac {1}{2}})$
