# Math Help - Write As Single Log

1. ## Write As Single Log

Write the expression below as a single log.

2log_3(u) - log_3(v)

2. Originally Posted by magentarita
Write the expression below as a single log.

2log_3(u) - log_3(v)
$= \log_3 u^2 - \log_3 v = \log_3 \frac{u^2}{v}$

3. ## Tell me...

Which log rule did you use to get the answer?

4. He assumed that you already know the properties of logarithms, which he posted not a long time ago in a previous thread of yours.

http://www.mathhelpforum.com/math-he...779-post3.html

When you have a difference between two logs, the two logs can be combined in one log of a quotient. The numerator contains the inside terms of the positive log and the denominator consists of the inside terms of the negative log.

5. ## Thanks

I thank you both for your replies and this great website.