(Solved): 5. Write the expression as a single logarithm, and simplify the result, if possible. Follow the ste ...

5. Write the expression as a single logarithm, and simplify the result, if possible. Follow the steps to guide you through the process. $\frac{1}{3}\ln x+\frac{4}{3}\ln y+\ln (x?6)?\ln \left(x^2?36\right)$ a. Apply the power property to any terms with a coefficient. b. Rewrite any rational powers in radical form. c. There are positive logarithmic terms in the expression. Therefore, when I write the single logarithm, the numerator of its argument will initially contain factors. d. There is negative logarithmic term in the expression. Therefore, when I write the single logarithm, the denominator of its argument will initially contain factor. e. Write the single logarithm, placing the arguments of the individual logarithmic terms as factors in the numerator or denominator, as appropriate. f. Begin to simplify the argument of the single logarithm. Apply the product property of radicals: Let $\sqrt[n]{a}$ and $\sqrt[n]{b}$ be real numbers. Then $\sqrt[n]{a}?\sqrt[n]{b}=\sqrt[n]{ab}$. g. Factor any polynomial expressions in the argument and then cancel factors common to numerator and denominator.