# Ln9≈2.197 in exponential form?

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#### Explanation

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1
Feb 9, 2018

${e}^{2.197} \approx 9$

#### Explanation:

If you have $\ln 9 \approx 2.197$, this is telling us
$\text{2.197 is approximately the number you have to raise 3 to to get 9.}$

This means that when we raise $e$ to the power of 2.197, that is approximately 9.

Therefore, we have:
${e}^{2.197} \approx 9$

Then teach the underlying concepts
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#### Explanation

Explain in detail...

#### Explanation:

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Jim G. Share
Feb 9, 2018

$9 \approx {e}^{2.197}$

#### Explanation:

$\text{using the "color(blue)"law of logarithms}$

•color(white)(x)log_bx=nhArrx=b^n

$\ln 9 = {\log}_{e} 9$

$\Rightarrow \ln 9 \approx 2.197 \Rightarrow 9 \approx {e}^{2.197}$

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