Express powers as factors
log[x(x+5)/(x+4)^5], x > 0
Thank you
$\displaystyle
\log \left[ {\frac{{x\left( {x + 5} \right)}}
{{\left( {x + 4} \right)^5 }}} \right] = \log \left[ {x\left( {x + 5} \right)} \right] - \log \left( {x + 4} \right)^5 = \log \left( x \right) + \log \left( x+5 \right) - 5\log \left( {x + 4} \right)
$