Precalculus Examples

$2 \log (4) \cdot 16$

Step 1

Simplify $2 \log (4)$ by moving $2$ inside the logarithm.

$\log (4^{2}) \cdot 16$

Step 2

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

$\log (16) \cdot 16$

Step 3

Multiply $\log (16) \cdot 16$ .

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Step 3.1

Reorder $\log (16)$ and $16$ .

$16 \cdot \log (16)$

Step 3.2

Simplify $16 \cdot \log (16)$ by moving $16$ inside the logarithm.

$\log (16^{16})$

Step 4

Raise $16$ to the power of $16$ .

$\log (18446744073709600000)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\log (18446744073709600000)$

Decimal Form:

$19.26591972 \dots$