Exponents, Roots and Logarithms

Exponents, Roots (such as square roots, cube roots etc) and Logarithms are all related!

Let's start with the simple example of 3 × 3 = 9:

3 Squared

=

= 3 × 3 = 9

Using Exponents we write it as:

3² = 9

When any of those values are missing we have a question, each with a different notation:

is the exponent question "what is 3 squared?":   3² = 9

is the root question "what is the square root of 9?":   √9 = 3

is the logarithm question "what is log base 3 of 9?":   log₃(9) = 2

So when we are stuck trying to solve questions with logs, roots or exponents just remember this!

Another example: