Question
100%

The graphs of y=1.1x and y=x have two points of intersection, while the graphs of y=2^x and y=x have no points of intersection.  It follows that there is a real number 1 < p<2 for which the graphs of y=p^x and y=x have exactly one point of intersection and y=x is tangent to y=p^x.

Find the value of p

Determine the coordinates of the single point of intersection y=p^x and y=x.  Type the values for the x- and y-coordinates or an approximation.

Expert Solution
Students who’ve seen this question also like:
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN: 9781337111348
Author: Bruce Crauder, Benny Evans, Alan Noell
Publisher: Cengage Learning
Your question is solved by a Subject Matter Expert
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.