Question

WHAT IS THE RELATIONSHIP BETWEEN EXPONENTIAL AND LOGARITHMIC FUNCTIONS? WHAT IS AN EXAMPLE OF AN EXPONENTIAL FUNCTION AND ITS INVERSE? GIVE A REAL LIFE EXAMPLE.

Answer 1

WHAT IS THE RELATIONSHIP BETWEEN EXPONENTIAL AND LOGARITHMIC FUNCTIONS?
 The study of exponential functions will be accompanied by the study of logarithmic functions since both functions are closely related to being inverse; the inverse function of the exponential function is the logarithmic of the same base, and the inverse of the logarithmic function is the exponential.
 WHAT IS AN EXAMPLE OF AN EXPONENTIAL FUNCTION AND ITS INVERSE? GIVE A REAL LIFE EXAMPLE 
 Example 1:
   f (x) = 2 ^ x. is. f ^ -1 (x) = log2 (x)
 Example 2:  f (x) = e ^ x. is. f ^ -1 (x) = ln (x)
 An example of an exponential function is the growth of bacterias . Some bacterias double every hour. If you start with 1 bacterium and double in each hour, you will have 2^x bacterias after x hours. This can be written like f (x) = 2^x.