SOLUTION: Solve: log base x of 81=4/3

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve: log base x of 81=4/3      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 155093: Solve: log base x of 81=4/3
Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
Solve: log base x of 81=4/3
---------------------------
Your problem says:
the exponent is 4/3
the base is x
the result is 81
------------------------
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
=============
Cheers,
Stan H.