MATH 1021 Chapter : Section 5 3
Document Summary
Objective 1: understanding the definition of a logarithmic function. Every exponential function of the form inverse function. 1 f x b b x f x x b= where. 1b is one-to-one and thus has an (1, , 1) f x x b= and its inverse. Change f x to y: x y b= y x b= Before we can solve for y we must introduce the following definition: , the logarithmic function with base b is defined by. 1( ) x y can be written as x logb y logb x. The expression logb x is the exponent to which b must be raised to in order to get x. 1 x= and x= . b (1) (2) logb. Objective 4: using the common and natural logarithms. For the common logarithmic function is defined by x . 10y x y log if and only if.
