Precalculus Examples

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

Step 1

Expand $\log ({(27)}^{\frac{1}{3}})$ by moving $\frac{1}{3}$ outside the logarithm.

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

Step 2

Rewrite $\log (27)$ as $\log (3^{3})$ .

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

Step 3

Expand $\log (3^{3})$ by moving $3$ outside the logarithm.

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

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $3 \log (3)$ .

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

Step 4.2

Cancel the common factor.

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

Step 4.3

Rewrite the expression.

$\log (3)$