Expand the Logarithmic Expression M log base 5 of 8

$M \log_{5} (8)$

Step 1

Rewrite $\log_{5} (8)$ as $\log_{5} (2^{3})$ .

$M \log_{5} (2^{3})$

Step 2

Expand $\log_{5} (2^{3})$ by moving $3$ outside the logarithm.

$M (3 \log_{5} (2))$

Step 3

Move $3$ to the left of $M$ .

$3 M \log_{5} (2)$