Maths Help please!!!!!!
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Maths Help please!!!!!!

[From: ] [author: ] [Date: 11-09-04] [Hit: ]
......
Can you please help me do this question? I'm really stuck?

n=400/(1 + 9e^((-1/9) t)

Show that the above equation can be written in the form

t = 9ln ((9n)/(400 - n))

I know it's difficult to read when its typed out, but could you please offer some help? Would you mind showing me the method?

Thanks
D

-
400 = (1 + 9e^((-1/9) t) n

400 = n + 9n e^((-1/9) t)

9n e^((-1/9) t) = 400 - n

e^((-1/9) t) = (400 - n) / (9n)

e^((1/9) t) = (9n) / (400 - n)

(1/9) t = ln [ (9n) / (400 - n) ]

t = 9 ln [ (9n) / (400 - n) ]
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