Precalculus Examples

$\log_{7} (x - 8) - \log_{7} (x) \cdot 0.5$

Step 1

Multiply $- \log_{7} (x) \cdot 0.5$ .

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Step 1.1

Multiply $0.5$ by $- 1$ .

$\log_{7} (x - 8) - 0.5 \log_{7} (x)$

Step 1.2

Simplify $- 0.5 \log_{7} (x)$ by moving $0.5$ inside the logarithm.

$\log_{7} (x - 8) - \log_{7} (x^{0.5})$

Step 2

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

$\log_{7} (\frac{x - 8}{x^{0.5}})$