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

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

 See The Solution Submitted by broll No Rating

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 re: a quick look | Comment 3 of 4 |
(In reply to a quick look by Charlie)

A closer approximation for the first value given is 7.8229

``` x      sin(x)          log(7.8229)(x)       difference
7.75 .994598779111176 .995448597662659    -8.49818551483173E-047.76 .995586975859855 .996075460154489    -4.88484294634634E-047.77 .996475614740601 .996701515353769    -2.25900613168895E-047.78 .997264606890266 .997326765337137    -6.21584468710895E-057.79 .997953873410293 .997951212173227     2.66123706624949E-067.8 .998543345374605 .998574857922713    -3.15125481084478E-057.81 .999032963836496 .999197704638349    -1.64740801853564E-047.82 .999422679834528 .999819754365008    -3.97074530480379E-047.83 .999712454397426 1.00044100913972    -7.28554742297353E-047.84 .999902258547975 1.00106147099173    -1.15921244375285E-037.85 .999992073305919 1.0016811419425    -1.6890686365775E-03```

 Posted by Charlie on 2015-11-03 14:58:18

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