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Graphing Logarithmic Functions

Graphing Logarithmic Functions 1.7 - Solution

arrow_back Return to Graphing Logarithmic Functions

When equations are solved graphically, the variable terms are isolated on one side of the equation, with the constant term on the other. In the given equation, this is already the case. Therefore, we do not need to rearrange the equation before constructing the function rule. To draw the graph of a logarithmic function, we can follow a three-step process.

  1. Identify the base.
  2. Determine points on the graph.
  3. Plot the points and sketch the graph.

Let's do it! Looking at the given function, we can see that the base is Using the base, we will construct a table of values.

Let's plot the points and and connect them with a smooth curve.

The solution to the equation is the value of the point whose coordinate is We'll mark this point on the graph.

From the diagram, we see that the graphs intersect at We can verify this solution by substituting it into the original equation.
Since makes a true statement, it is a solution to the equation.