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April 30th, 2014, 05:43 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 05:47 PM. 
April 30th, 2014, 06:01 PM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,671 Thanks: 2651 Math Focus: Mainly analysis and algebra 
This is one definition of the logarithm. $$\log_a{b} = c \iff a^c = b$$ 
April 30th, 2014, 06:05 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, 06:27 PM  #4 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,671 Thanks: 2651 Math Focus: Mainly analysis and algebra 
You could do, yes.


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algebra, logarithm, logarithms, logs 
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