Question

How would I find the exact value of the following expression?

Answer 1

\(\ \huge ln (e^\sqrt{2}) \)

Answer 2

Remember the definition of a logarithm. Here we have the log to base e of (e raised to a power). Therefore the answer is the exponent of e.
Can you find it?

Answer 3

How? E to the e is not sqrt 2?

Answer 4

@kropot72

Answer 5

The log to base e of \[e ^{\sqrt{2}}\]\[=\sqrt{2}\]