perplexus.info :: Just Math : Two and only two

Two and only two (Posted on 2015-11-03)

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

Submitted by broll

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Solution: (Hide)

The trick here is that at one point the lines cross, whereas at the other they touch at a tangent. Charlie and Jer give good numerical approximations to the actual values.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): a quick look	Jer	2015-11-04 07:42:01
re: a quick look	Charlie	2015-11-03 14:58:18
re: a quick look	Jer	2015-11-03 13:03:45
a quick look	Charlie	2015-11-03 08:50:28

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