Precalculus Examples

$5 (\log_{6} (x) + 2 \log_{6} (y) - 5 \log_{6} (z))$

Step 1

Apply the distributive property.

$5 \log_{6} (x) + 5 (2 \log_{6} (y)) + 5 (- 5 \log_{6} (z))$

Step 2

Simplify.

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Step 2.1

Multiply $2$ by $5$ .

$5 \log_{6} (x) + 10 \log_{6} (y) + 5 (- 5 \log_{6} (z))$

Step 2.2

Multiply $- 5$ by $5$ .

$5 \log_{6} (x) + 10 \log_{6} (y) - 25 \log_{6} (z)$