# Write As Single Log

• Aug 6th 2008, 04:27 AM
magentarita
Write As Single Log
Write the expression below as a single log.

2log_3(u) - log_3(v)
• Aug 6th 2008, 05:08 AM
mr fantastic
Quote:

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

2log_3(u) - log_3(v)

$\displaystyle = \log_3 u^2 - \log_3 v = \log_3 \frac{u^2}{v}$
• Aug 6th 2008, 12:31 PM
magentarita
Tell me...
Which log rule did you use to get the answer?
• Aug 6th 2008, 12:53 PM
Chop Suey
He assumed that you already know the properties of logarithms, which he posted not a long time ago in a previous thread of yours. (Wink)

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.
• Aug 7th 2008, 02:41 AM
magentarita
Thanks
I thank you both for your replies and this great website.