Question

Simplify the expression:1n (e^5/12)Round your answer to two decimal points.

Answer 1

Given:

$\ln (\frac{e^5}{12})$$\ln (\frac{a}{b})=\ln (a)-\ln (b)$

Then:

$\ln (\frac{e^5}{12})=\ln e^5-\ln 12$

$\ln a^b=b\ln a$$\begin{gathered} \ln (\frac{e^5}{12})=\ln e^5-\ln 12 \\ =5\ln e-\ln 12 \\ =5(1)-2.4849 \\ =5-2.4849 \\ =2.515 \\ =2.52 \end{gathered}$