i have

6.644 = -ln[ln(T/T-1)]

and i need to find a value of t

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- January 12th 2007, 11:38 AM #1

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- January 12th 2007, 11:58 AM #2

- January 12th 2007, 12:09 PM #3
You're looking for t or T? (This isn't really as stupid a question as it sounds. Technically they are different variables, though here the meaning is clear enough.)

Ordinarily I would leave the LHS alone, but as the exponent is in decimal form and we are going to have a complicated form in the end, it is just easier to get a decimal expression. Note: I am going to keep a ridiculous number of digits in the expression until the final answer to make rounding errors as small as reasonable.

Again going to the decimal expression:

If you prefer the exact expression is got the same way and is:

-Dan