## Algebra 2 Tutorial

*What is a Logarithm*

#### Intro

For every function there is an inverse function. If y can be written as an expression of x, then, inversely, x can be written as an expression of y.

For example, say you know that

.

Then…

An exponential, like all functions, has an inverse. That inverse is called a logarithm. So if…

then

So the expression can be understood to mean that c is the number that a must be raised to in order to equal b.

The subscript in the logarithm is called the base. Logarithms to the base 10 are called common logs.

Logarithms to the base e (an irrational number) are called natural logs

#### Sample Problem

Assuming the following statement is true, determine the value of x

#### Solution

Therefore and so

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