Question

Solve expressing your answer in exact form involving a natural logarithm and showing your steps

Answer 1

Answer:

$3 {e}^{ \frac{t}{2} + 4 } = 27 \\ {e}^{ \frac{ t }{2} + 4} = 9 \\ ( \frac{t}{2} + 4)ln(e) = 3 ln(3) \\ \frac{t}{2} + 4 = 3.3 \\ \frac{t}{2} = - 0.7 \\ t = - 1.4$

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