Express the following in terms of $u$ and $v$, where $u=\ln x$ and $v=\ln y$. For example, $\ln x=3(\ln x)=3 u$.
-$\ln \left(x^{9} y^{17}\right)$
A) $9 u-17 v$
B) $9 u+17 v$
C) $17 u+9 v$
D) $17 u-9 v$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, $\ln(x^9 y^{17}) = \ln(x^9) + \ln(y^{17}) = 9\ln(x) + 17\ln(y) = 9u + 17v$.

Express the Following in Terms Of uuu And vvv , Where u=ln⁡xu=\ln xu=lnx

Express the Following in Terms Of $u$ And $v$ , Where $u=\ln x$