Question

Solve:

$log\left[a^{4x}{\left(\frac{x-5}{x+4}\right)}^{\frac{3}{4}}\right]$

Answer 1

$\log \left[a^{4x}{\left(\frac{x-5}{x+4}\right)}^{\frac{3}{4}}\right]\log a^{4x}+\log {\left(\frac{x-5}{x+4}\right)}^{\frac{3}{4}}4x\log a+\frac{3}{4}\log \left(\frac{x-5}{x+4}\right)4x\log a+\frac{3}{4}[\log (x-5)-\log (x+4)]$