Calculus Examples

$\log_{2} (x^{4} y^{3})$

Step 1

Rewrite $\log_{2} (x^{4} y^{3})$ as $\log_{2} (x^{4}) + \log_{2} (y^{3})$ .

$\log_{2} (x^{4}) + \log_{2} (y^{3})$

Step 2

Expand $\log_{2} (x^{4})$ by moving $4$ outside the logarithm.

$4 \log_{2} (x) + \log_{2} (y^{3})$

Step 3

Expand $\log_{2} (y^{3})$ by moving $3$ outside the logarithm.

$4 \log_{2} (x) + 3 \log_{2} (y)$