已知函数f(x)=log a x(a>0,a≠1)的图象如右图示,函数y=g(x)的图象与y=f(x)的图象关于直线y=x对称,则函数y=g(x)的解析式为( )
A.
g(x)=2 x
B.
g(x)= ( 1 2 ) x
C.
g(x)= lo g 1 2 x
D.
g(x)=log 2 x
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