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?

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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