Question

Find a logarithmic equation that relates y and x. Explain the steps used to find the equation.

Answer 1

Step 1:

Find the logarithmic equation.

The values are related by the equation , where is the slope of the line.

Use the to find the corresponding values for .

 

Answer 2

Step 2:

Find the slope of the line, by using any two values of in the above table.

Let .

The slope of the line

Substitute in equation .

The logarithmic equation is

Solution :

The logarithmic equation is