# How do you evaluate e^ln3?

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13
Jan 20, 2017

${e}^{\ln} 3$ = 3

#### Explanation:

Consider ${e}^{\ln} 3$:

We know that a natural logarithm is

$\textcolor{red}{\ln} = {\textcolor{b l u e}{\log}}_{e}$

Therefore ${\log}_{e} \left(e\right)$ = 1

All that's left over is the 3

So 1•3 = 3 (The answer)

Then teach the underlying concepts
Don't copy without citing sources
preview
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#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

3
Gió Share
Feb 12, 2015

Try to write it as a log:
$\ln \left(x\right) = \ln 3$ which is: $x = {e}^{\ln \left(3\right)}$
But to have:
$\ln \left(x\right) = \ln 3$ means that $x = 3$ or: ${e}^{\ln \left(3\right)} = 3$

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