Precalculus Examples

$\log (3) (\frac{1}{27})$

Step 1

Reorder $\log (3)$ and $\frac{1}{27}$ .

$\frac{1}{27} \log (3)$

Step 2

Simplify $\frac{1}{27} \log (3)$ by moving $\frac{1}{27}$ inside the logarithm.

$\log (3^{\frac{1}{27}})$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log (3^{\frac{1}{27}})$

Decimal Form:

$0.01767115 \dots$