Question 155093:  Solve: log base x of 81=4/3 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! Solve: log base x of 81=4/3 
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Your problem says: 
the exponent is 4/3 
the base is x 
the result is 81 
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Rewrite as: 
x^(4/3) = 81 
Raise both sides to the 3/4 power to get: 
x = 81^(3/4) 
x = 3^3 
x = 27 
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Cheers, 
Stan H. 
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