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