Training Camp (cont 1)

Read page 429 Example 2 in your textbook, Principles of Mathematics 12. Complete the Your Turn question on page 429 to practice solving exponential equations using logarithms. Click here to verify your answers.

Notice that in textbook Example 2, you used your calculator to evaluate the logarithmic expressions. This is possible only if the expression has base 10 or base e. If the expression has base 10, it is a common log and you use the log function on your calculator. If the expressionhas base e, it is a natural log and you use the ln function on your calculator.

Watch the videos below to see more examples of evaluating logarithmic expressions using a calculator. Using the Change of Base Formula to Evaluate Logarithms (base other than 10 or e)

If you want to evaluate a logarithm that does not have base 10 or base e, you must use a method other than your calculator. The relationship between the exponential function x = b^y and the logarithmic function y = log_b x, introduced on the previous page, can be used to evaluate a logarithmic expression in the form y = log_b x where b, the base value, is not equal to 10 or e. Example 1 explores this.