Math problem where graphing calculator may slow you down...

[CR Haeger]

I was messing around with a graphing calculator and thought of a math problem that may not be best (or quickly) served by a graphing calculator. It may be a bit contrived but oh well...

Problems

1. Find the largest three values of x which are solutions to f(x)=g(x), where f(x) = sin(ln(x)) and g(x) = cos(ln(x)) in the range x = 0 to 50 and Radians are used.

2. Repeat problem 1, substituting x = 0 to 1E20 for the range and using Degrees.

What do your machines and/or brains come up with?