Question 710345
Solve the expression {{{Ta^t = Qk^t}}} for t assuming that all other letters are positive constants.
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Assuming T <> t
I'll sub s for T temporarily to make typing easier
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{{{sa^t = qk^t}}}
{{{a^t/k^t = q/s}}}
{{{(a/k)^t = q/s}}}
{{{t*log(a/k) = log(q/s)}}}
{{{t = log(q/T)/log(a/k)}}}