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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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Some Thoughts a quick look | Comment 1 of 4
Graphing indicates two possible values for n: one near 7.8 and the other near 1/4.6. The first solution in each case is an ordinary intersection, while the second solution in each case is a point of tangency.

Edited on November 3, 2015, 8:53 am
  Posted by Charlie on 2015-11-03 08:50:28

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