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Home > CCA2 > Chapter 6 > Lesson 6.2.3 > Problem 6-129

6-129.

Write three different, but equivalent, expressions for each of the following logs. For example: can be written as , , etc.

Use the properties of logarithms and exponents to help you rewrite these.
Simplify different parts of the expression to create new, equivalent expressions.

  1. Simplify the argument:

    Simplify the argument further:

    The Power Property of Logarithms is , so one way to rewrite this expression is .

  2. Use the Power Property of Logarithms in reverse here.
    Since .

    Find two different ways to rewrite
    (there are more than two ways to do this).

  3. Refer to parts (a) and (b).