My Math Forum logarithm help algebra 2

 Algebra Pre-Algebra and Basic Algebra Math Forum

 April 30th, 2014, 06:43 PM #1 Newbie   Joined: Apr 2014 From: Boulder, Colorado Posts: 3 Thanks: 0 logarithm help algebra 2 IMG_2862.jpgI am doing an online Algebra II course and am having a hard time understanding an example given, which I have attached a picture of to this post (at least I think I'm pretty sure I was able to). The part that is confusing me is step three. I understand that ten is the common logarithm but I am failing to see how they got from log ((n+9)/4n) = 0 to 10^0 = (n+9/4n. If someone could explain this to me that would be great. Thanks. By the way I realize this is my second post about this but I forgot to attach the link to the first one and have no idea how to delete it. Last edited by FinlayB; April 30th, 2014 at 06:47 PM.
 April 30th, 2014, 07:01 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,697 Thanks: 2681 Math Focus: Mainly analysis and algebra This is one definition of the logarithm. $$\log_a{b} = c \iff a^c = b$$
 April 30th, 2014, 07:05 PM #3 Newbie   Joined: Apr 2014 From: Boulder, Colorado Posts: 3 Thanks: 0 thank you so much! Just as a side note would I use those same steps in solving the equation log(5x) = log(2x+9)?
 April 30th, 2014, 07:27 PM #4 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,697 Thanks: 2681 Math Focus: Mainly analysis and algebra You could do, yes.

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