# How can a logarithmic equation be solved by graphing?

##### 1 Answer

There are a couple of steps.

a) Separate into functions and graph

b) Locate the intersection points.

Here is an example.

**Solve the equation #2 = log_2 (x - 1)#**

This can be converted into a linear equation by understanding that

So,

Graph both lines and locate the intersection point, which is

Here is yet another example:

**Solve the equation #4 = log_2 (x + 3) + log_2 (4x)#**

This can be written as a single logarithm:

Rewrite without logarithms:

Graph the two equations:

You will find the intersection point is

Hopefully this helps!