Precalculus Examples

$\log (5) + \log (7) - \log (1)$

Step 1

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

$\log (5 \cdot 7) - \log (1)$

Step 2

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

$\log (\frac{5 \cdot 7}{1})$

Step 3

Divide $5 \cdot 7$ by $1$ .

$\log (5 \cdot 7)$

Step 4

Multiply $5$ by $7$ .

$\log (35)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\log (35)$

Decimal Form:

$1.54406804 \dots$