A) There are two different ways to do this question:

1. Plug in the given results and check if the equation becomes a true statement.

2. Solve the equation for x and check if you've got one of the given results.

B) to #3 (way #2.):

I assume that the original equation reads: 3e^(x+2)=75 . If so:

Therefore both answers are correct.

to #7 (way #1):Plug in x =1 + ln(3.8):

Plug in x =45.7012:

Therefore x = 45.7012 is an approximate solution of the equation.