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Trig meets Logs (Posted on 2006-06-14) Difficulty: 3 of 5
Prove the equation cos(x) = log(2*pi)x has exactly 3 real solutions if x is measured in radians.

What must the base of the logarithm be reduced to to give the equation exactly two real solutions?

No Solution Yet Submitted by Jer    
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  Subject Author Date
Solutionnon-rigorous "proof" for part 1; numerical computer solution for part 2Charlie2006-06-14 13:08:05
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