Examples: Solving Logarithmic Equations
Example 1
Let’s work through another example of solving logarithmic equations that do not involve the change of base formula. Select the play button to begin the example, and then use the solve button to view the solution and use the navigation buttons to pause/stop the example. View the presentation as often as you would like, and take notes as you follow along. Be sure to set your volume at a reasonable level before you begin.
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Example 2
Let's do one more example together, this one involving the natural log. Try this problem on your own and then click to reveal the solution.
Solve ln(x)3 = 4.82831
First, use the Exponent of Logarithms Rule to move the three to the front.
3 ln(x)= 4.82831
Next, divide both sides by 3.
ln(x) = 1.609437
Rewrite as a exponential function. Remember that the natural log has base ‘e’.
x = e1.609437
Evaluate this expression.
x = 5
