Precalculus Examples

$\log_{2} (A) + \log_{2} (B) - 2 \log_{2} (C)$

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log_{2} (A B) - 2 \log_{2} (C)$

Step 2

Simplify $- 2 \log_{2} (C)$ by moving $2$ inside the logarithm.

$\log_{2} (A B) - \log_{2} (C^{2})$

Step 3

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

$\log_{2} (\frac{A B}{C^{2}})$