What is the solution set?

Question

y=log(x+2)

y=x^2

 

What is the solution set, round to four decimal places.

Answer 1

Using a graphing program:

 

(-0.59167, 0.34167) and (1.05, 1.1333)

Answer 2

If a graphing calculator is allowed, the easiest way to solve problems like this one is to graph the two functions and to determine the intersection point.   The details of how you would do this vary with the calculator, but should be quite simple and routine.