Precalculus Examples

$\ln (7) - \ln (4) - \ln (8)$

Step 1

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

$\ln (\frac{7}{4}) - \ln (8)$

Step 2

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

$\ln (\frac{\frac{7}{4}}{8})$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\ln (\frac{7}{4} \cdot \frac{1}{8})$

Step 4

Multiply $\frac{7}{4} \cdot \frac{1}{8}$ .

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Step 4.1

Multiply $\frac{7}{4}$ by $\frac{1}{8}$ .

$\ln (\frac{7}{4 \cdot 8})$

Step 4.2

Multiply $4$ by $8$ .

$\ln (\frac{7}{32})$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\ln (\frac{7}{32})$

Decimal Form:

$- 1.51982575 \dots$