Mathematics Problem Of the Week

Spring 2008

POW #7

Sine Meets the Iterated Log

Let log(x) denote the common (base 10) logarithm function.

Warm up: At how many points do the graphs of y=sin(x) and y=log(x) intersect?

The real deal: At how many points do the graphs of y=sin(x) and y=log(log(x)) intersect?

As always be sure to justify your answers.

Due Friday, March 14^th at Noon.

Solutions should be submitted to Dr. R. Lock's mailbox in the Math/CS/Stat office or sent via e-mail to rlock@stlawu.edu.