Precalculus Examples

$\log (\frac{1}{2}) \cdot 16$

Step 1

Multiply $\log (\frac{1}{2}) \cdot 16$ .

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Step 1.1

Reorder $\log (\frac{1}{2})$ and $16$ .

$16 \cdot \log (\frac{1}{2})$

Step 1.2

Simplify $16 \cdot \log (\frac{1}{2})$ by moving $16$ inside the logarithm.

$\log ({(\frac{1}{2})}^{16})$

Step 2

Apply the product rule to $\frac{1}{2}$ .

$\log (\frac{1^{16}}{2^{16}})$

Step 3

One to any power is one.

$\log (\frac{1}{2^{16}})$

Step 4

Raise $2$ to the power of $16$ .

$\log (\frac{1}{65536})$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\log (\frac{1}{65536})$

Decimal Form:

$- 4.81647993 \dots$