Evaluate logarithms using the change of base rule

The  exercise appears under the Algebra II Math Mission. This exercise practices evaluating any logarithm in a calculator with the use of the change of base formula.

Types of Problems
There is one type of problem in this exercise:


 * 1) Evaluate the logarithm: This problem provides a logarithmic expression. The student is asked to approximate the logarithm and provide the correct answer in the space provided. Evaluate logarithms using the change of base rule.PNG

Strategies
Knowledge of powers of various numbers and the chain rule would be a great advantage for success in the exercise.
 * 1) The logarithm base $$b$$ of a number is the value one should raise the base to in order to get that number.
 * 2) Effectively, logarithm answers can be viewed as the "appropriate exponent."
 * 3) A calculator may be needed to approximate decimal values.

Real-life Applications

 * 1) Logarithms are used to make large numbers more understandable.
 * 2) Examples of logarithmic scales include the Richter scale for earthquake intensity, pH scale for acidity and decibel scale for intensity of sound.