Question

Im having massive brain block.
-exp(t) + 3exp(t/2) = 0, solve for t

Answer 1

replace \(\frac{t}{2}\) by \(x\) and solve
\[-e^{2x}+3e^x=0\]

Answer 2

you move one term to the other side and take natural log of both sides?

Answer 3

solve as a quadratic equation

Answer 4

factor out an \(e^x\)

Answer 5

\[-e^x(e^x-3)=0\]

Answer 6

exp(x) = 3 or 0 but never gets to 0

Answer 7

right

Answer 8

make sure to replace \(x\) by \(\frac{t}{2}\)

Answer 9

ok, thank you very much!

Answer 10

yw