Precalculus Examples

$\log (6^{x^{6}})$

Step 1

Expand $\log (6^{x^{6}})$ by moving $x^{6}$ outside the logarithm.

$x^{6} \log (6)$

Step 2

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

$x^{6} \log (2 (3))$

Step 3

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

$x^{6} (\log (2) + \log (3))$

Step 4

Apply the distributive property.

$x^{6} \log (2) + x^{6} \log (3)$