What is the solution to 4+5e^(x+2)=11?
(Answers Below)
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Answer:
x = ln (7/5) - 2
Step-by-step 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