Calculus Examples

$\log_{2} (4 y^{4})$

Step 1

Rewrite $\log_{2} (4 y^{4})$ as $\log_{2} (4) + \log_{2} (y^{4})$ .

$\log_{2} (4) + \log_{2} (y^{4})$

Step 2

Expand $\log_{2} (y^{4})$ by moving $4$ outside the logarithm.

$\log_{2} (4) + 4 \log_{2} (y)$

Step 3

Logarithm base $2$ of $4$ is $2$ .

$2 + 4 \log_{2} (y)$