2. (4 points) Is there a real number a: such that eff1 = 2:15?

Please help me with this problem. I need steps. Thanks a lot.

2. (4 points) Is there a real number a: such that eff—1 = 2:15? If your answer is no, justify why no such asexists. If your answer is yes, justify why at least one solution to «em—1 = 2% exists, and find an interval (a, b) (where a,b are real numbers) which is guaranteed to contain such an 9:. You must fully justifyyour answer to receive full credit. You may assume 6"” is a continuous function. In this problem, you are not allowed to use a calculator to justify any assertions. However, you may use the fact that e m 2.718if you wish.