Precalculus Examples

$\log_{0.6} (2 \frac{7}{9})$

Step 1

A mixed number is an addition of its whole and fractional parts.

$\log_{0.6} (2 + \frac{7}{9})$

Step 2

Add $2$ and $\frac{7}{9}$ .

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Step 2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\log_{0.6} (2 \cdot \frac{9}{9} + \frac{7}{9})$

Step 2.2

Combine $2$ and $\frac{9}{9}$ .

$\log_{0.6} (\frac{2 \cdot 9}{9} + \frac{7}{9})$

Step 2.3

Combine the numerators over the common denominator.

$\log_{0.6} (\frac{2 \cdot 9 + 7}{9})$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply $2$ by $9$ .

$\log_{0.6} (\frac{18 + 7}{9})$

Step 2.4.2

Add $18$ and $7$ .

$\log_{0.6} (\frac{25}{9})$