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

1. anonymous

replace $$\frac{t}{2}$$ by $$x$$ and solve $-e^{2x}+3e^x=0$

2. anonymous

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

3. anonymous

solve as a quadratic equation

4. anonymous

factor out an $$e^x$$

5. anonymous

$-e^x(e^x-3)=0$

6. anonymous

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

7. anonymous

right

8. anonymous

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

9. anonymous

ok, thank you very much!

10. anonymous

yw