Precalculus Examples

$3^{2 \log_{3} (4)} + \log_{3} (2)$

Step 1

Simplify $2 \log_{3} (4)$ by moving $2$ inside the logarithm.

$3^{\log_{3} (4^{2})} + \log_{3} (2)$

Step 2

Exponentiation and log are inverse functions.

$4^{2} + \log_{3} (2)$

Step 3

Raise $4$ to the power of $2$ .

$16 + \log_{3} (2)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$16 + \log_{3} (2)$

Decimal Form:

$16.63092975 \dots$