Question

Evaluating

e^(ln√(x))?

and

lne^5?

Answer 1

\(e^x\) and \(\ln(x)\) are inverse functions

Answer 2

in other words
\[e^{\ln(\text{whatever})}=\text{whatever}\]

Answer 3

So the answer for the first is just x?

Answer 4

similarly
\[\ln(e^{\text{anything}})=\text{anything}\]

Answer 5

Sqrt x

Answer 6

no, for the first one your "whatever" is \(\sqrt{x}\)

Answer 7

yeah you got it the second time, that is correct

Answer 8

Okay, I understand the pattern now. Thank you very much. :)