1. Logs

I am having the hardest time figuring these out. The problem I am on is log(subscript 4)192-log(subscript4)3. I know that the property is division, I'm just not exactly sure how to get the answer? I ended up with 193/3, then 63, but this makes no sense. Just need step by step help to see how this is done?

2. Originally Posted by Chinnie15
I am having the hardest time figuring these out. The problem I am on is log(subscript 4)192-log(subscript4)3. I know that the property is division, I'm just not exactly sure how to get the answer? I ended up with 193/3, then 63, but this makes no sense. Just need step by step help to see how this is done?
$\displaystyle \log _4 (192) - \log _4 (3) = \log _4 \left( {\frac{{192}}{3}} \right) = \log _4 (64) = 3$.
Because $\displaystyle 4^3=64$

3. Thanks! That means I almost got it! And the 63 in the first post was a typo, I just didn't know what to do with the 64.

4. Originally Posted by Chinnie15
Thanks! That means I almost got it! And the 63 in the first post was a typo, I just didn't know what to do with the 64.
You should have recognized that $\displaystyle 64= 4(16)= 4(4)(4)= 4^3$.