Precalculus Examples

$\log (\frac{1}{4}) \cdot 4$

Step 1

Multiply $\log (\frac{1}{4}) \cdot 4$ .

Tap for more steps...

Reorder $\log (\frac{1}{4})$ and $4$ .

$4 \cdot \log (\frac{1}{4})$

Simplify $4 \cdot \log (\frac{1}{4})$ by moving $4$ inside the logarithm.

$\log ({(\frac{1}{4})}^{4})$

Step 2

Apply the product rule to $\frac{1}{4}$ .

$\log (\frac{1^{4}}{4^{4}})$

Step 3

One to any power is one.

$\log (\frac{1}{4^{4}})$

Step 4

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

$\log (\frac{1}{256})$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\log (\frac{1}{256})$

Decimal Form:

$- 2.40823996 \dots$