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 July 30th, 2010, 11:11 PM #1 Newbie   Joined: Nov 2009 Posts: 15 Thanks: 0 Solutions to an equation Hi, How can i prove that the equation (ln|x|)^3 = x has three real solutions? By using the Intermediate value theorem, i know that this equation has some solutions. I'm also trying to use Rolle's theorem but it's not getting me anywhere. Thanks for any help  July 31st, 2010, 03:00 AM #2 Senior Member   Joined: Apr 2010 Posts: 105 Thanks: 0 Re: Solutions to an equation Are you sure? ln|x| is symmetric, so is the cube of it. There are two real solutions, between -1 and 0, 6 and 7. July 31st, 2010, 05:31 AM #3 Math Team   Joined: Apr 2010 Posts: 2,780 Thanks: 361 Re: Solutions to an equation a third one as well, between 93 and 94. Hoempa July 31st, 2010, 06:35 AM #4 Senior Member   Joined: Apr 2010 Posts: 105 Thanks: 0 Re: Solutions to an equation Yes, there is a third one. f(x)=ln�|x|, use f'(x) with x>0. Tags equation, solutions Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post raycol1970 Algebra 3 April 14th, 2012 03:03 PM Solarmew Applied Math 12 November 21st, 2011 06:01 PM daivinhtran Algebra 10 September 8th, 2011 03:20 PM jakeward123 Calculus 5 June 3rd, 2011 01:17 AM raycol1970 Applied Math 1 December 31st, 1969 04:00 PM

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