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Two and only two (Posted on 2015-11-03) Difficulty: 2 of 5

For what value(s) of n does the equality sin(x) = logn(x) have exactly two solutions?

See The Solution Submitted by broll    
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re(2): a quick look Comment 4 of 4 |
(In reply to re: a quick look by Charlie)

I got as close as I could by trial and error, within the accuracy of my calculator (the last digit may be wrong):

n=7.82283794408, x=7.7915486, difference=2E-13

There may be better ways to get a close approximation but either way I doubt there's a closed form for the value of n.

  Posted by Jer on 2015-11-04 07:42:01
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