Precalculus Examples

$\log (x) - \log (7) - \log (8)$

Step 1

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

$\log (\frac{x}{7}) - \log (8)$

Step 2

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

$\log (\frac{\frac{x}{7}}{8})$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\log (\frac{x}{7} \cdot \frac{1}{8})$

Step 4

Multiply $\frac{x}{7} \cdot \frac{1}{8}$ .

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Step 4.1

Multiply $\frac{x}{7}$ by $\frac{1}{8}$ .

$\log (\frac{x}{7 \cdot 8})$

Step 4.2

Multiply $7$ by $8$ .

$\log (\frac{x}{56})$