Precalculus Examples

$\log (5 x^{2} y^{3})$

Step 1

Rewrite $\log (5 x^{2} y^{3})$ as $\log (5 x^{2}) + \log (y^{3})$ .

$\log (5 x^{2}) + \log (y^{3})$

Step 2

Rewrite $\log (5 x^{2})$ as $\log (5) + \log (x^{2})$ .

$\log (5) + \log (x^{2}) + \log (y^{3})$

Step 3

Expand $\log (x^{2})$ by moving $2$ outside the logarithm.

$\log (5) + 2 \log (x) + \log (y^{3})$

Step 4

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

$\log (5) + 2 \log (x) + 3 \log (y)$