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sqrt e^9t =e^t

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2 Answers

Assuming this:
 
sqrt (e^9t) =e^t
 
(e^9t)^(1/2) =e^t
 
e^(9t/2) =e^t
 
9t/2 = t
 
9t/2 - t = 0
 
7t/2 = 0
 
t = 0
√e^9t = e ^t
 
e^(9/2)t  = e^t
 
  The = should not be there , because it is only true for t =0
 
  ln ( e^ (9t/2)  = 9t/2
 
   ln e ^t = t
 
     Maybe this was
 
    √e ^ 9t = e ^3
 
      e ^ (9t/2) = e ^3
 
         9t/2 = 3
 
           t = 6/9 = 2/3