Precalculus Examples

$\log (6) z^{- 3}$

Step 1

Rewrite $\log (6)$ as $\log (2 (3))$ .

$\log (2 (3)) z^{- 3}$

Step 2

Rewrite $\log (2 (3))$ as $\log (2) + \log (3)$ .

$(\log (2) + \log (3)) z^{- 3}$

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$(\log (2) + \log (3)) \frac{1}{z^{3}}$

Step 4

Multiply $\log (2) + \log (3)$ by $\frac{1}{z^{3}}$ .

$\frac{\log (2) + \log (3)}{z^{3}}$