Question

Expand in logarithmic expression

Answer 1

`\ln \left( \sqrt{r^(8)s^(6)} \right)=\ln \left( \left( r^(8)s^(6) \right)^{(1)/(2)} \right)\\ =(1)/(2)\ln \left( r^(8)s^(6) \right)=(1)/(2)(8\ln(r)+6\ln(s))\\ =4\ln(r)+3\ln(s)`