Precalculus Examples

$\log_{d} (x^{4} y^{9} z)$

Step 1

Rewrite $\log_{d} (x^{4} y^{9} z)$ as $\log_{d} (x^{4} y^{9}) + \log_{d} (z)$ .

$\log_{d} (x^{4} y^{9}) + \log_{d} (z)$

Step 2

Rewrite $\log_{d} (x^{4} y^{9})$ as $\log_{d} (x^{4}) + \log_{d} (y^{9})$ .

$\log_{d} (x^{4}) + \log_{d} (y^{9}) + \log_{d} (z)$

Step 3

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

$4 \log_{d} (x) + \log_{d} (y^{9}) + \log_{d} (z)$

Step 4

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

$4 \log_{d} (x) + 9 \log_{d} (y) + \log_{d} (z)$