Precalculus Examples

$3 \log_{4} (6 x - 5) - 4 \log_{4} (7 x + 1)$

Step 1

Simplify each term.

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Step 1.1

Simplify $3 \log_{4} (6 x - 5)$ by moving $3$ inside the logarithm.

$\log_{4} ({(6 x - 5)}^{3}) - 4 \log_{4} (7 x + 1)$

Step 1.2

Simplify $- 4 \log_{4} (7 x + 1)$ by moving $4$ inside the logarithm.

$\log_{4} ({(6 x - 5)}^{3}) - \log_{4} ({(7 x + 1)}^{4})$

Step 2

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

$\log_{4} (\frac{{(6 x - 5)}^{3}}{{(7 x + 1)}^{4}})$