Precalculus Examples

$\log_{d} (u^{9} v^{8})$

Step 1

Rewrite $\log_{d} (u^{9} v^{8})$ as $\log_{d} (u^{9}) + \log_{d} (v^{8})$ .

$\log_{d} (u^{9}) + \log_{d} (v^{8})$

Step 2

Expand $\log_{d} (u^{9})$ by moving $9$ outside the logarithm.

$9 \log_{d} (u) + \log_{d} (v^{8})$

Step 3

Expand $\log_{d} (v^{8})$ by moving $8$ outside the logarithm.

$9 \log_{d} (u) + 8 \log_{d} (v)$