Answer
$=\ln \sqrt[3] {(\frac{(x+6)^{5}}{x(x^{2}-25)})}$
Work Step by Step
$= \frac{1}{3}[5\ln(x+6)-\ln(x)-\ln(x^{2}-25)]$
$= \frac{1}{3}[\ln(x+6)^{5}-\ln x - \ln (x^{2}-25)]$
$= \frac{1}{3}[\ln(\frac{(x+6)^{5}}{x})- \ln (x^{2}-25)]]$
$= \frac{1}{3}[\ln(\frac{(x+6)^{5}}{x}\times\frac{1}{x^{2}-25})]$
$=\frac{1}{3}[\ln(\frac{(x+6)^{5}}{x(x^{2}-25)})]$
$= \ln(\frac{(x+6)^{5}}{x(x^{2}-25)})^{\frac{1}{3}}$
$=\ln \sqrt[3] {(\frac{(x+6)^{5}}{x(x^{2}-25)})}$
