The Student Room Group

How to solve an equation with e?

I don't know how to solve the equation : e^t/8 = 1000e^-t/8
Reply 1
Have you covered the addition rule for logarithms?
Reply 2
Original post by Sinfire
Have you covered the addition rule for logarithms?

Yes...oh I know what to do now! Lol
Thanks
Reply 3
Original post by Oliviazh
Yes...oh I know what to do now! Lol
Thanks


No prob :biggrin:
Reply 4
You could multiply through by et/8 e^{-t/8} to form a quadratic.
Then if you're unsure of what to do from there make the substitution u=et/8 u=e^{t/8} .
Original post by B_9710
You could multiply through by et/8 e^{-t/8} to form a quadratic.
Then if you're unsure of what to do from there make the substitution u=et/8 u=e^{t/8} .


In this case it isn't a quadratic.
Reply 6
Original post by EricPiphany
In this case it isn't a quadratic.


Why not?
Original post by Zacken
Why not?


Isn't that overcomplicating things? Can't you just multiply through by e^t/8 and take the natural log.
Reply 8
Original post by EricPiphany
Isn't that overcomplicating things? Can't you just multiply through by e^t/8 and take the natural log.


Well, yeah. That's what I'd do. But it's always good to know of alternate solutions. :yep:
Original post by Zacken
Well, yeah. That's what I'd do. But it's always good to know of alternate solutions. :yep:


I suppose you're right :tongue:

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