SOLUTION: If {{{(3^r)=(4^s)=(24^t)}}}, find an expression for {{{t}}} in terms of {{{r}}} and {{{s}}}.

Question 764905: If , find an expression for in terms of and .
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!

Find an expression for t in terms of r and s
24^t = 3^r
using natural logs
t*ln(24) = r*ln(3)
3.178t = 1.099r
t =
t = .345687r
:
24^t = 4^s
using natural logs
t*ln(24) = s*ln(4)
3.178t = 1.386s
t =
t = .4362s
:
:

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