Solve the equation
(e^4) * e^x2=e^12
I come up with x^3=12 ,then x^3-12=0.
I know I'm wrong, but I can't see a way to simplify x^3
Thanks
Jason
okay, so you should know two things here, x^3 will still not come into play:
$\displaystyle \left( x^a \right)^b = x^{ab}$ ....................(1)
$\displaystyle x^a \cdot x^b = x^{a + b}$ ................(2)
now on to the problem
$\displaystyle \left( e^4 \right)^x e^{x^2} = e^{12}$
$\displaystyle \Rightarrow e^{4x}e^{x^2} = e^{12}$ ................by (1)
$\displaystyle \Rightarrow e^{x^2 + 4x} = e^{12}$ ................by (2)
equating the powers we get
$\displaystyle x^2 + 4x = 12$
now conitnue