Algebra Examples

$\log_{6} (4 a^{5})$

Step 1

Rewrite $\log_{6} (4 a^{5})$ as $\log_{6} (4) + \log_{6} (a^{5})$ .

$\log_{6} (4) + \log_{6} (a^{5})$

Step 2

Expand $\log_{6} (a^{5})$ by moving $5$ outside the logarithm.

$\log_{6} (4) + 5 \log_{6} (a)$

Step 3

Simplify each term.

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Step 3.1

Rewrite $\log_{6} (4)$ as $\log_{6} (2^{2})$ .

$\log_{6} (2^{2}) + 5 \log_{6} (a)$

Step 3.2

Expand $\log_{6} (2^{2})$ by moving $2$ outside the logarithm.

$2 \log_{6} (2) + 5 \log_{6} (a)$