Precalculus Examples

$6 \log (x) + 5 \log (x - 8)$

Step 1

Simplify each term.

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Step 1.1

Simplify $6 \log (x)$ by moving $6$ inside the logarithm.

$\log (x^{6}) + 5 \log (x - 8)$

Step 1.2

Simplify $5 \log (x - 8)$ by moving $5$ inside the logarithm.

$\log (x^{6}) + \log ({(x - 8)}^{5})$

Step 2

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log (x^{6} {(x - 8)}^{5})$