My Math Forum Log question (need help quick)

 Algebra Pre-Algebra and Basic Algebra Math Forum

 April 25th, 2011, 07:38 PM #1 Newbie   Joined: Dec 2010 Posts: 12 Thanks: 0 Log question (need help quick) Hi everyone :P i got stuck while i'm trying to solve this question: Q8 Find a relation between x and y that does not involve logarithms: b) 2log10(y) - 3log10(x) = 2 it'll b a great help if anyone can show me the process of solving this question thank you
 April 25th, 2011, 07:41 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 465 Math Focus: Calculus/ODEs Re: Log question (need help quick) We have: $2\log(y)-3\log(x)=2$ $\log$$y^2$$-\log$$x^3$$=2$ $\log$$\frac{y^2}{x^3}$$=2$ $\frac{y^2}{x^3}=10^2=100$
 April 25th, 2011, 08:14 PM #3 Global Moderator     Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4 Re: Log question (need help quick) It takes my browser longer to download the webpage than it did for you to reply!
 April 25th, 2011, 08:34 PM #4 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 465 Math Focus: Calculus/ODEs Re: Log question (need help quick) I gave no explanations, as it seemed pretty evident what was being done, that's how I was so fast.
 April 26th, 2011, 03:08 PM #5 Newbie   Joined: Dec 2010 Posts: 12 Thanks: 0 Re: Log question (need help quick) thank you for your help. as you can see, i'm pretty new to logs could you help me solve this one as well? log10(x) = log10(4) / log10(2) the problem is i don't really get the concept of logs. i've only learnt the 5 basic laws of log and the division of logs is just out of my understanding. could you explain it for me?
 April 26th, 2011, 03:36 PM #6 Global Moderator     Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4 Re: Log question (need help quick) Surely one of the rules that you know will justify the equality... log_10(4) = 2*log_10(2) Then the right hand side is just "2". Exponentiate. etc.

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