The points (0,1) , (1,14) , and (2,196) all lie on the line of the exponential function f(x)=14x . On which logarithmic function do the points (14,1) and (196,2) lie?(1 point) Responses g(x)=log14x g left parenthesis x right parenthesis equals logarithm subscript 14 baseline x g(x)=x14 g left parenthesis x right parenthesis equals x superscript 14 baseline g(x)=logx g left parenthesis x right parenthesis equals logarithm x g(x)=log14x
To find the logarithmic function, we need to find the inverse function of the exponential function f(x) = 14x.
Since the points (0, 1), (1, 14), and (2, 196) lie on the line of the exponential function, they correspond to the points (1, 0), (14, 1), and (196, 2) on the inverse function.
Therefore, the points (14, 1) and (196, 2) lie on the logarithmic function g(x) = log14x.