SOLUTION: What is the inverse of the function y=logbase2 x? Is it a) y=2^-x b) y=2^x c) y=x^2 d) y=logbasex 2

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: What is the inverse of the function y=logbase2 x? Is it a) y=2^-x b) y=2^x c) y=x^2 d) y=logbasex 2      Log On


   

Question 130177: What is the inverse of the function y=logbase2 x? Is it
a) y=2^-x
b) y=2^x
c) y=x^2
d) y=logbasex 2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the inverse of the function y=logbase2 x? Is it
a) y=2^-x
b) y=2^x
c) y=x^2
d) y=log(basex) 2
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y=logbase2 x
Interchange x and y and solve for y as follows:
x = log(base2) y
base is 2 ; exponent is x ; anti=log is y
y = 2^x
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Cheers,
Stan H.