Precalculus Examples

$\log_{7} (4) - \log_{7} (1 + 1)$

Step 1

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

$\log_{7} (\frac{4}{1 + 1})$

Step 2

Add $1$ and $1$ .

$\log_{7} (\frac{4}{2})$

Step 3

Divide $4$ by $2$ .

$\log_{7} (2)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log_{7} (2)$

Decimal Form:

$0.35620718 \dots$