Question

What is the solution to 4+5e^(x+2)=11?

(Answers Below)

Answer 1

option 1

Explanation:

Answer 2

x = ln (7/5) - 2

Explanation:

4+5e^(x+2)=11

Subtract 4 from each side

4-4+5e^(x+2)=11-4

5e^(x+2)=7

Divide by 5 on each side

5/5e^(x+2)=7/5

e^(x+2)=7/5

Take the natural log on each side

ln (e^(x+2))= ln (7/5)

x+2 = ln (7/5)

Subtract 2 from each side

x = ln (7/5) - 2