Evaluating exponential function

K_Swiss

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Feb 8, 2008
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Evaluate e2ln4\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?
 
It's easy using the properties of logs. Remember that e 'cancels out' ln because e is the base of ln.

e2ln(4)=eln(42)=42=16\displaystyle e^{2ln(4)}=e^{ln(4^{2})}=4^{2}=16

See?.
 
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