Quandaries
and Queries 

Name: benjamin Who is asking: Student Question: 

Hi Benjamin, Setting them equal gives
At this point, like you, I see no technique to solve for x. All I can do is use my number sense and try some values of x. This yields an immediate result since the fact that e^{0} = 1 shows that x = 0 is a solution. A harder question is "Is there another solution?" To do this I used some computer software to plot the two functions
From the plot I can see that x = 0 is a solution, but also that there is another solution at approximately x = 0.7. My calculator gives f(0.7) = 1.50341 and g(0.7) = 1.49, so they are not equal, but close. The best I can do now is improve my approximation. Try x = 0.71 and see what you get. Penny 

