Question

Question 1: Solve the following equation:

9 + 3 e 2 x + 1 = 12 − e 2 x + 1

A. approximately x = 1.305

B. approximately x = -0.644

C. approximately x = 1.674

D. approximately x = -0.562

E. none of the above

choose the correct answer

Answer 1

$$9+3e^{2x+1}=12-e^{2x+1}$$

$$e^{2x+1}=0.75$$

$$2x+1=ln0.75$$

$$x=0.5(ln0.75-1)$$

$$x=-0.643841$$

Answer B