Question

What is the value of In e^6?

Answer 1

6

Explanation:

`\bold{METHOD\ 1:}\\\\\text{Use}\\\\\log_ab^n=n\cdot\log_ab\\\\\log_aa=1\\\\\log_ea=\ln a\\------------------\\\ln e^6=6*\ln e=6*1=6`

`\bold{METHOD\ 2:}\\\\\text{Use}\\\\\log_aa^n=n\\\\\log_ea=\ln a\\--------------------\\\ln e^6=\log_ee^6=6`

Answer 2

The general rule is,
`\ln e^x=x` hence
`\ln e^6=6`.

Hope this helps.