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September 18th, 2013, 06:43 AM  #1 
Newbie Joined: Jul 2013 Posts: 21 Thanks: 0  Exponential and Logarithmic Equations help!
How do I solve these types of equations: , ,, , , etc? Stepbystep solutions would be helpful. Also, I've got this problem: In a town of 15,000 people, the spread of a rumor that the local transit company would go on strike was such that hours after the rumor, where experience over time has shown that a. How many people started the rumor? b. How many people heard the rumor after 5 hours? Now I know how to solve letter b by just substituting the for 5, but I would like to know how to solve letter a. Am I only going to substitute for 1 or what? And why? Thanks 
September 18th, 2013, 09:12 AM  #2 
Senior Member Joined: Dec 2012 Posts: 372 Thanks: 2  Re: Exponential and Logarithmic Equations help!
I will only solve your first problem, which will give you a cue to solve the rest. I simply multiplied thru by . Now let and we observe that . The rest is simple, you just solve the quadratic equation and substitute . If is negative, then it doesn't yield any solution. For the number of people that started the rumor, you let to get your answer. 

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