Precalculus Examples

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

Step 1

Simplify $3 \log_{2} (x)$ by moving $3$ inside the logarithm.

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

Step 2

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

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