Current location - Training Enrollment Network - Mathematics courses - Mathematics in senior high school is a compulsory course. Is there a difference between exponential function and logarithmic function? What is the difference? Thank you in detail!
Mathematics in senior high school is a compulsory course. Is there a difference between exponential function and logarithmic function? What is the difference? Thank you in detail!
Exponential function: the general form is y = a x (a > 0 and ≠ 1) (x∈R). The domain refers to all real numbers (-∞,+∞), which is R. For all exponential functions, y = a x. His a satisfies a>0 and a≠ 1, which means y >;; 0。 So the range is (0, +∞).

Logarithmic function: Generally speaking, if the power of A (A is greater than 0, and A is not equal to 1) is equal to N, then the number B is called the logarithm of N with the base of A, which is recorded as log aN=b and read as the logarithm of N with the base of A, where A is called the base of logarithm and N is called a real number. In general, the function y=log(a)X, (where a is a constant and a >;; 0 and a is not equal to 1) is called logarithmic function, which is actually the inverse function of exponential function and can be expressed as x = a y, so the stipulation of a in exponential function is also applicable to logarithmic function. The domain of logarithmic function is a set of real numbers greater than 0. The range of logarithmic functions is a set of real numbers.