1. ## simplify

Simplify:

3 log8 8^-2 + 1/4 log8 8^5

How would you go about doing that. I have tried doing it myself but I get the wrong answer.

2. Originally Posted by JQ2009
Simplify:

3 log8 8^-2 + 1/4 log8 8^5

How would you go about doing that. I have tried doing it myself but I get the wrong answer.
$3log_8(8^{-2}) + \frac{1}{4}log_8(8^5)$

Use the following laws of logs ( $b \neq 0,1$ and $a \neq 0$)

$log_b(a^k) = k\,log_b(a)$

$log_b(b) = 1$

Spoiler:
$(-2)(3)log_8(8) + \frac{1}{4}(5)log_8(8)$

$-6+\frac{5}{4} = -\frac{19}{4}$