Evaluating exponential function

[K_Swiss]

Evaluate \(\displaystyle e^{2ln4}\) using properties of the logarithm.

I used a calculator to solve this question and I got 16, but I don't know how to solve this without a calculator... Please help?

 

[galactus]

It's easy using the properties of logs. Remember that e 'cancels out' ln because e is the base of ln.

\(\displaystyle e^{2ln(4)}=e^{ln(4^{2})}=4^{2}=16\)

See?.

 

[K_Swiss]

yes I see it. thank you for your help!