Question

Solve, expressing your answer in an exact form involving a natural logarithm and showing your steps: 3*e^1/2t+4=27

Answer 1

3 e^t/2 + 4 = 27

e^t/2 = 23 / 3

Taking natural log of both sides

t/2 = ln 23/3 = ln 7.667 = 2.037

t = 4.074

Check:

3 e^4.074/2 + 4 = 27

27 = 27