Domain of the logarithm function is the positive real numbers.
Domain of exponential function is the real numbers.
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Periodicity is not a characteristic.
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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.
The domains of polynomial, cosine, sine and exponential functions all contain the entire real number line. The domain of a rational function does not, since its denominator has zeros, and neither does the domain of a tangent function. (1/2)x = true (8/3)x = true
The logarithm function. If y = bx, then x = by is the inverse --> y = logb(x). If b = 10, then the function is often stated with the '10' implied: just log(x). For natural logarithms (y = ex), the function y = ln(x) [which indicates loge(x)] is the inverse.