Calculus Examples

$\log_{4} (x^{5} y^{7})$

Step 1

Rewrite $\log_{4} (x^{5} y^{7})$ as $\log_{4} (x^{5}) + \log_{4} (y^{7})$ .

$\log_{4} (x^{5}) + \log_{4} (y^{7})$

Step 2

Expand $\log_{4} (x^{5})$ by moving $5$ outside the logarithm.

$5 \log_{4} (x) + \log_{4} (y^{7})$

Step 3

Expand $\log_{4} (y^{7})$ by moving $7$ outside the logarithm.

$5 \log_{4} (x) + 7 \log_{4} (y)$