Precalculus Examples

$e^{\log (e^{2} \cdot 16)}$

Step 1

Rewrite $\log (e^{2} \cdot 16)$ as $\log (e^{2}) + \log (16)$ .

$e^{\log (e^{2}) + \log (16)}$

Step 2

Simplify each term.

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Step 2.1

Expand $\log (e^{2})$ by moving $2$ outside the logarithm.

$e^{2 \log (e) + \log (16)}$

Step 2.2

Rewrite $\log (16)$ as $\log (2^{4})$ .

$e^{2 \log (e) + \log (2^{4})}$

Step 2.3

Expand $\log (2^{4})$ by moving $4$ outside the logarithm.

$e^{2 \log (e) + 4 \log (2)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$e^{2 \log (e) + 4 \log (2)}$

Decimal Form:

$7.94632014 \dots$