# Exponentials and Logarithms

Exponentials and logarithms are related mathematical concepts – in fact, they are inverse functions of each other. Having an understanding of how to use both exponential and logarithms will help you to better understand and manipulate more complicated functions.

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Are logarithms and exponentials the same?

No. They are similar as they both use the same information (bases, exponents, answer of base to the power of exponent). However, they solve to give you different information.

What is the opposite of a log?

Logarithms (logs) and exponentials are inverse functions; therefore, exponentials are the opposite of a log, and logs are the opposite of exponentials.

What is the difference between an exponential and a logarithm?

Both exponentials and logarithms use the same information but differ in what they find. An exponential is used to find the value of the base raised to an exponent, whilst a logarithm is used to find the exponent (power).

How do you switch between a logarithm and exponentials?

As they are inverse functions, switching between logarithms and exponentials does not need mathematical manipulation. Simply label each part of the function and rearrange it into the other functions form. For instance, Log Base (answer of exponential) = exponent goes to Base Exponent = Answer of exponential.

## Test your knowledge with multiple choice flashcards

What is exponentiation in simple terms?

What represents the inverse functions of exponentiation in mathematics?

What are the characteristics of graphs of exponents and logarithms?

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