The exponential function, logarithmic function and power function of high school mathematics compulsory 1

In general, the function y = a^x (a>0,a≠1)

Called an exponential function, its domain is R.

Example: If the exponential function f (x) = (A-1) ^x is a monotone subtraction function on R, then the range of the value of a is?

0<a<1, the function is a monotone decrement function on R, where A is (A-1), and the value range of a is: 1<a<2

Logarithmic Operation Properties:

Loga (MN) =logam+logan

Loga (m/n) =logam-logan

Logam^n = Nlogam

Logarithmic commutation formula: LogaN = LOGCN/LOGCA

where a>0,a≠1,n>0,c>0,c≠1

Example: Calculation log2 (5) *log5 (4)

=LG (5)/LG (2) * LG (4)/LG (5)

=2 (LG2)/lg2

=2

In general, the function Y=logax (a>0,a≠1)

Called a logarithmic function, it is defined as a field (0,+∞)

In general, we take shape as Y=x^a

function is called the Power function, where x is an argument and a is a constant.

The exponential function, logarithmic function and power function of high school mathematics compulsory 1