Range: real number set r, obviously the logarithmic function is unbounded;

Fixed point: the function image of logarithmic function always passes through the fixed point (1, 0);

Monotonicity: a> is at 1, which is a monotone increasing function on the definition domain;

When 0<a< 1, it is a monotonic decreasing function on the domain;

Parity: Non-odd non-even function

Periodicity: Not a periodic function.

Symmetry: none

Maximum value: None

Zero: x= 1

Extended data:

Operational properties of logarithmic functions

Generally speaking, if a (a >; 0, and the b power of a≠ 1) is equal to n, then the number b is called the logarithm with base of n, and it is recorded as logaN=b, where a is called the base of logarithm and n is called a real number.

Cardinality > 0 and ≠ 1 real number > 0

And, when comparing two function values:

If the cardinality is constant, the greater the true number, the greater the function value. (a & gt 1)

If the cardinality is constant, the smaller the true number, the greater the function value. (0 & lta & lt 1)

Baidu encyclopedia-logarithmic function