Precalculus Examples

$21 \log_{3} (\sqrt[3]{x} + \log_{3} (9 x^{2}) - \log_{3} (9))$

Step 1

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

$21 \log_{3} (\sqrt[3]{x} + \log_{3} (\frac{9 x^{2}}{9}))$

Step 2

Cancel the common factor of $9$ .

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Step 2.1

Cancel the common factor.

$21 \log_{3} (\sqrt[3]{x} + \log_{3} (\frac{9 x^{2}}{9}))$

Step 2.2

Divide $x^{2}$ by $1$ .

$21 \log_{3} (\sqrt[3]{x} + \log_{3} (x^{2}))$

Step 3

Simplify $21 \log_{3} (\sqrt[3]{x} + \log_{3} (x^{2}))$ by moving $21$ inside the logarithm.

$\log_{3} ({(\sqrt[3]{x} + \log_{3} (x^{2}))}^{21})$