6.644 = -ln[ln(T/T-1)]
and i need to find a value of t
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: