Question

What is the value of In e^6?

Answer 1

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

Hope this helps.

Answer 2

Answer:

6

Step-by-step explanation:

$\bold{METHOD\ 1:}\\\\\text{Use}\\\\\log_ab^n=n\cdot\log_ab\\\\\log_aa=1\\\\\log_ea=\ln a\\------------------\\\ln e^6=6\times\ln e=6\times1=6$

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