Question

need help with this problem

Answer 1

use the properties of logarithms
\[\large \log_a(AB)=\log_aA+\log_aB \]
\[\large \log_aA^n=n\log_aA \]

Answer 2

I do and continue to get the wrong answer. that method worked fine for all the other problems on the homework.

Answer 3

\[\large \ln y^5+\frac{1}{3}\ln(x^6y^{12})-9\ln y=
5\ln y+\frac{1}{3}(\ln x^6+\ln y^{12})-9\ln y \]
\[\large =5\ln y+\frac{1}{3}(6\ln x+12\ln y)-9\ln y \]
\[\large =5\ln y+2\ln x+4\ln y-9\ln y=2\ln x \]