Expand the Logarithmic Expression log base 6 of 40

$\log_{6} (40)$

Step 1

Rewrite $\log_{6} (40)$ as $\log_{6} (2^{3} \cdot 5)$ .

$\log_{6} (2^{3} \cdot 5)$

Step 2

Rewrite $\log_{6} (2^{3} \cdot 5)$ as $\log_{6} (2^{3}) + \log_{6} (5)$ .

$\log_{6} (2^{3}) + \log_{6} (5)$

Step 3

Expand $\log_{6} (2^{3})$ by moving $3$ outside the logarithm.

$3 \log_{6} (2) + \log_{6} (5)$