How Do You Solve the Equation log(x) = 2cos(x) in the Interval 0 < x < 2π?

  • Thread starter ms. confused
  • Start date
In summary, challenging math questions require critical thinking and problem-solving skills, and can be beneficial for students of all levels. To improve problem-solving skills, one can practice regularly, break down problems, and use different strategies. If stuck on a challenging math question, one can approach it from a different angle or seek help from others. Online resources such as math competition websites, apps, and forums are available for finding challenging math questions to practice.
  • #1
ms. confused
91
0
How does this question work? It's multiple choice so its one of the following answers.

logx=2cosx, 0<x<2pi

A. 0.17, 0.71
B. 1.38
C. 1.48, 5.07
D. 1.57, 5.11
 
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  • #2
Graphical Solution

There is an x (in your domain) where these two functions intersect. Graph them and see. (This is a trancendental equation, by the way.)

-Beth
 
  • #3
If it's multiple choice, why don't you plug in the values in your calc?

If you want a method, I don't think this can be solved analytically. Do you know any numerical methods?
 
  • #4
daster said:
Do you know any numerical methods?

That's what I was hoping to find out.
 

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