Solve this equation

I solved in this way, but i dont know if it is correct.

??

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- Nov 13th 2011, 06:28 AMFabio010Solving e^{3x}-2e^{-x} = 0.
Solve this equation

I solved in this way, but i dont know if it is correct.

?? - Nov 13th 2011, 06:32 AMQuackyRe: Solving this equation ?
I think you mean:

In which case, multiply through by :

Which means that - Nov 13th 2011, 06:39 AMPlatoRe: Solving this equation ?
- Nov 13th 2011, 06:42 AMFabio010Re: Solving this equation ?
But when i write the function

it is different of the function

The solution is the same for y = 0

but for other numbers like y = -20 it is different - Nov 13th 2011, 06:58 AMQuackyRe: Solving this equation ?
You started with

When I multiplied through by , it became:

The*functions*are not the same, because I've multiplied through by which is variable. But when you multiply 0 by , the value is still 0 - nothing changes, so the intercept doesn't change. - Nov 13th 2011, 07:07 AMFabio010Re: Solving this equation ?
Hum ok thanks

I understood now.. they are the same when x = 0 because e^0 = 1

Thanks for the help. - Nov 13th 2011, 07:11 AMQuackyRe: Solving this equation ?
- Nov 13th 2011, 08:46 AMHallsofIvyRe: Solving this equation ?