Operations with logarithms

The  exercise appears under the Algebra II Math Mission. This exercise uses the common logarithmic rules to simplify logarithmic expressions.

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


 * 1) Apply a logarithm rule to change the expression: This problem has a logarithmic expression that can be simplified by the standard logarithm rules. The student is asked to find an equivalent expression and write it in the space provided.Opwilo1.png

Strategies
Knowledge of logarithm rules and experience with exponential rules are encouraged to ensure success on this exercise.
 * 1) With logarithms, products become sums.
 * 2) With logarithms, quotients become differences.
 * 3) With logarithms, powers are pulled in front and become a product.
 * 4) The numbers involved on this exercise can generally be done mentally to increase efficiency.

Real-life Applications

 * 1) Practice with logarithms increase ability with exponents.
 * 2) Logarithms are useful in many scales, such as Richter, Decibel and pH.