Calculus Examples

$\log_{c} (u^{2} v^{3})$

Step 1

Rewrite $\log_{c} (u^{2} v^{3})$ as $\log_{c} (u^{2}) + \log_{c} (v^{3})$ .

$\log_{c} (u^{2}) + \log_{c} (v^{3})$

Step 2

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

$2 \log_{c} (u) + \log_{c} (v^{3})$

Step 3

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

$2 \log_{c} (u) + 3 \log_{c} (v)$