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finding t

How do I find t from this
0.746=1-e^(-0.183t)
Reply 1
Original post by dont
How do I find t from this
0.746=1-e^(-0.183t)


It's best to isolate e^(-0.183t) first, do you have any ideas what you could do next?
Reply 2
Original post by KaylaB
It's best to isolate e^(-0.183t) first, do you have any ideas what you could do next?


Take 1 away to get -0.254 on the left?
Reply 3
Original post by dont
Take 1 away to get -0.254 on the left?


That is correct. Now you're going to want to get rid of the minus and apply a special function to both sides to get rid of the e. And then it becomes easy to deduce what t is
(edited 8 years ago)
What subject is this for?
Reply 5
Original post by Ano9901whichone
What subject is this for?


Maths
How do you know it's not for physics?

Original post by KaylaB
Maths
Reply 7
Original post by Sinfire
That is correct. Now you're going to want to get rid of the minus and apply a special function to both sides to get rid of the e. And then it becomes easy to deduce what t is
so times both sides by -1. Im not sure what to do then. Do I take ln of both sides as I think that's the inverse to e.
Yes because ln(e) will end up giving u 1


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Original post by dont
so times both sides by -1. Im not sure what to do then. Do I take ln of both sides as I think that's the inverse to e.


Yes, ln is the reverse of e.

Once you've done that it will be fairly straightforward to work out t.
Reply 10
Thanks everyone :smile:

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