SOLUTION: Solve the indicial linear equation 9^(-1/2)=27^(1/4)÷3^(x+1)

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Question 1198056: Solve the indicial linear equation 9^(-1/2)=27^(1/4)÷3^(x+1)
Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F3+=+%283%5E3%29%5E%281%2F4%29%2F+3%5E%28x%2B1%29
3%5E%28x%2B1%29+=++%283%5E1%29%283%5E3%29%5E%281%2F4%29
3^(x+1) = 3^(7/4)
x+1 = 7/4
x = 3/4 agreed... Got carried away with my }}}

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solve the indicial linear equation 9^(-1/2) = 27^(1/4)÷3^(x+1)
~~~~~~~~~~~~~~~~~ 

1%2F3 = %283%5E3%29%5E%281%2F4%29%2F3%5E%28x%2B1%29


3%5E%28x%2B1%29 =  %283%5E1%29%2A%283%5E3%29%5E%281%2F4%29

  x+1   =    1 +  3%2F4

   x    =    3%2F4.         ANSWER

Solved.