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September 23rd, 2010, 11:21 PM  #1 
Newbie Joined: Sep 2010 Posts: 3 Thanks: 0  Exponential inequality
I hope I'm getting my terms right (I'm Norwegian so we naturally don't use the English math terms). There's this nasty inequality that I'm struggling to solve. Looks like this: 5^3x < 3 * 5^x My first instinct was to do this 5^3x  3 * 5^x = 0 and try to solve it but how? 
September 23rd, 2010, 11:46 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs  Re: Exponential inequality
My first move would be to divide through by 5^x, since 5^x > 0 for all real x. This gives: 5^(2x) < 3 Next, take the log base 5 of both sides, giving: 2x < log5(3) x < log5[?(3)] 

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