Precalculus Examples

$\log (\frac{8}{3}) - \log (49)$

Step 1

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

$\log (\frac{\frac{8}{3}}{49})$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\log (\frac{8}{3} \cdot \frac{1}{49})$

Step 3

Multiply $\frac{8}{3} \cdot \frac{1}{49}$ .

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Step 3.1

Multiply $\frac{8}{3}$ by $\frac{1}{49}$ .

$\log (\frac{8}{3 \cdot 49})$

Step 3.2

Multiply $3$ by $49$ .

$\log (\frac{8}{147})$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log (\frac{8}{147})$

Decimal Form:

$- 1.26422734 \dots$