Algebra Examples

$\log_{2} (\frac{x^{9}}{5 y})$

Step 1

Rewrite $\log_{2} (\frac{x^{9}}{5 y})$ as $\log_{2} (x^{9}) - \log_{2} (5 y)$ .

$\log_{2} (x^{9}) - \log_{2} (5 y)$

Step 2

Expand $\log_{2} (x^{9})$ by moving $9$ outside the logarithm.

$9 \log_{2} (x) - \log_{2} (5 y)$

Step 3

Rewrite $\log_{2} (5 y)$ as $\log_{2} (5) + \log_{2} (y)$ .

$9 \log_{2} (x) - (\log_{2} (5) + \log_{2} (y))$

Step 4

Apply the distributive property.

$9 \log_{2} (x) - \log_{2} (5) - \log_{2} (y)$