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Home > A2C > Chapter 7 > Lesson 7.2.3 > Problem 7-129

  1. Write three different, but equivalent, expressions for each of the following logs. For example: log(73/2) can be written as , , , etc. Homework Help ✎

    1. log(82/3)

    2. −2log(5)

    3. log(na)bo

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

Simplify the argument:

Simplify the argument further:

Use the Power Property of Logarithms in reverse here.
Since n · logm(a) = logm(an), −2 log(5) = log(5−2).

Find two different ways to rewrite 5−2
(there are more than two ways to do this).

Refer to parts (a) and (b).