Calculus Examples

$\log (5 x^{7} y^{6})$

Step 1

Rewrite $\log (5 x^{7} y^{6})$ as $\log (5 x^{7}) + \log (y^{6})$ .

$\log (5 x^{7}) + \log (y^{6})$

Step 2

Rewrite $\log (5 x^{7})$ as $\log (5) + \log (x^{7})$ .

$\log (5) + \log (x^{7}) + \log (y^{6})$

Step 3

Expand $\log (x^{7})$ by moving $7$ outside the logarithm.

$\log (5) + 7 \log (x) + \log (y^{6})$

Step 4

Expand $\log (y^{6})$ by moving $6$ outside the logarithm.

$\log (5) + 7 \log (x) + 6 \log (y)$