My Math Forum Intersection of a line and exponential function

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 December 9th, 2013, 07:27 PM #1 Member   Joined: Sep 2013 Posts: 58 Thanks: 0 Intersection of a line and exponential function So, we're learning logs right now, and I have no idea how to solve this question. I get here, 40,000+2000n=38500(1.05)^n, I try a bunch of stuff, and I still get it wrong. http://gyazo.com/75789ac1be3531567f41f582d4db50c9.png Thanks, Tzad
 December 9th, 2013, 08:07 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Intersection of a line and exponential function You cannot determine an exact solution set using elementary functions. I would recommend using a numeric root finding method to approximate the two roots. $n\approx-4.67915,\,6.72276$

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### intersection of line and exponential

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