Use the laws of logarithms to rewrite the expression
$\displaystyle{\ln\left(\root 5 \of {xy}\right)}$
in a form that does not contain any logarithm of a product, quotient or power. After rewriting, we have
$\displaystyle{\ln\left(\root 5 \of
{xy}\right)=A\ln\left(x\right)+B\ln\left(y\right)}$
with constants
$A$ = and
$B$ = .
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