Precalculus Examples

$\log (3 x + 6) - \log (\frac{1}{3})$

Step 1

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

$\log (\frac{3 x + 6}{\frac{1}{3}})$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\log ((3 x + 6) \cdot 3)$

Step 3

Apply the distributive property.

$\log (3 x \cdot 3 + 6 \cdot 3)$

Step 4

Multiply.

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Step 4.1

Multiply $3$ by $3$ .

$\log (9 x + 6 \cdot 3)$

Step 4.2

Multiply $6$ by $3$ .

$\log (9 x + 18)$