y=2(to the x)-1
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No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.
Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.
An exponential function is a nonlinear function in the form y=ab^x, where a isn't equal to zero. In a table, consecutive output values have a common ratio. a is the y-intercept of the exponential function and b is the rate of growth/decay.
Well -x^3/4 would be exponential