Precalculus Examples

$\log_{2} (125) - \log_{2} (5 + \log_{2} (3))$

Step 1

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

$\log_{2} (\frac{125}{5 + \log_{2} (3)})$

Step 2

The result can be shown in multiple forms.

Exact Form:

$\log_{2} (\frac{125}{5 + \log_{2} (3)})$

Decimal Form:

$4.24660905 \dots$