Precalculus Examples

$9^{2 \log (9) \cdot 4}$

Step 1

Simplify $2 \log (9)$ by moving $2$ inside the logarithm.

$9^{\log (9^{2}) \cdot 4}$

Step 2

Raise $9$ to the power of $2$ .

$9^{\log (81) \cdot 4}$

Step 3

Multiply $\log (81) \cdot 4$ .

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Step 3.1

Reorder $\log (81)$ and $4$ .

$9^{4 \cdot \log (81)}$

Step 3.2

Simplify $4 \cdot \log (81)$ by moving $4$ inside the logarithm.

$9^{\log (81^{4})}$

Step 4

Raise $81$ to the power of $4$ .

$9^{\log (43046721)}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$9^{\log (43046721)}$

Decimal Form:

$19258840.4191666$