Precalculus Examples

$3 \log_{2} (5) - \log_{2} (x)$

Step 1

Simplify each term.

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Simplify $3 \log_{2} (5)$ by moving $3$ inside the logarithm.

$\log_{2} (5^{3}) - \log_{2} (x)$

Raise $5$ to the power of $3$ .

$\log_{2} (125) - \log_{2} (x)$

Step 2

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

$\log_{2} (\frac{125}{x})$