Trigonometry Examples

$\log_{4} (\frac{y^{3}}{7 x})$

Step 1

Rewrite $\log_{4} (\frac{y^{3}}{7 x})$ as $\log_{4} (y^{3}) - \log_{4} (7 x)$ .

$\log_{4} (y^{3}) - \log_{4} (7 x)$

Step 2

Expand $\log_{4} (y^{3})$ by moving $3$ outside the logarithm.

$3 \log_{4} (y) - \log_{4} (7 x)$

Step 3

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

$3 \log_{4} (y) - (\log_{4} (7) + \log_{4} (x))$

Step 4

Apply the distributive property.

$3 \log_{4} (y) - \log_{4} (7) - \log_{4} (x)$