For certain special arguments Log automatically evaluates to exact values. A b c are real numbers and b 0 a 0 a 1 a is called base of the logarithm. If the data lies on a straight line or seems to lie approximately along a straight line a linear model may be best.
At every point x 0 the logarithmic function has derivatives of all orders and in a sufficiently small neighbourhood it can be expanded in a power series that is it is an analytic function.
Y log b x. Logarithmic functions are the inverses of exponential functions and any exponential function can be expressed in logarithmic form. If the data lies on a straight line or seems to lie approximately along a straight line a linear model may be best. In mathematics the logarithm is the inverse function to exponentiationThat means the logarithm of a given number x is the exponent to which another fixed number the base b must be raised to produce that number xIn the simplest case the logarithm counts the number of occurrences of the same factor in repeated multiplication.