Question

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

Answer 1

Given:

`\ln ((e^5)/(12))`
`\ln ((a)/(b))=\ln (a)-\ln (b)`

Then:

`\ln ((e^5)/(12))=\ln e^5-\ln 12`

`\ln a^b=b\ln a`
`\begin{gathered} \ln ((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}`