Precalculus Examples

$\log_{11} (121 y^{3})$

Step 1

Rewrite $\log_{11} (121 y^{3})$ as $\log_{11} (121) + \log_{11} (y^{3})$ .

$\log_{11} (121) + \log_{11} (y^{3})$

Step 2

Expand $\log_{11} (y^{3})$ by moving $3$ outside the logarithm.

$\log_{11} (121) + 3 \log_{11} (y)$

Step 3

Logarithm base $11$ of $121$ is $2$ .

$2 + 3 \log_{11} (y)$