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You may be well acquainted with arithmetic functions, and simpler algebraic functions like the linear and polynomial functions. Exponential and logarithmic functions are higher topics that will show you wider possibilities and applications of math.

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Definition of Exponential and Logarithmic Functions:

The logarithm is the inverse function of exponentiation. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be increased in order to obtain that number x.The logarithm counts the number of times the same factor appears in repeated multiplication in the simplest instance.

 

Top things to learn under Exponential and Logarithmic Functions from the online tutor:

Here is all about the Exponential and Logarithmic Functions:
 

  • What is an exponential function?
  • Formula of exponential function
  • Properties of exponential function
  • What is a logarithmic function?
  • Formula of logarithmic function
  • Properties of logarithmic function
  • Solving Exponential Equations
  • Solving Logarithmic Equations
  • Applications of Exponential and Logarithmic Functions

 

Exponential and Logarithmic Functions Frequently Asked Questions:

Question 1: What is the relationship between exponential functions and logarithmic functions?

Exponential function is the inverse of logarithmic function.


The logarithmic equation Question 1corresponds to the exponential equation Question 1.1.

 

Question 2: How are exponential and logarithmic functions related?

The logarithmic equation Question 2 corresponds to the exponential equation Question 2.1.

 

Question 3: How to solve exponential and logarithmic functions?

To solve an exponential equation, examine if both sides of the problem can be written as powers of the same number.If you can't, take the common logarithm of both sides of the equation and use property Question 3 logax to solve the problem.

To solve a logarithmic equation, write it in the form log logarithmic equation = N and then transform it to exponential form transform it to exponential form, using the characteristics of logarithms.

 

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