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

7-129.

Write three different, but equivalent, expressions for each of the following logs. For example: log(7

^{3/2}) can be written as, , , etc. Homework Help ✎ log(8

^{2/3})−2log(5)

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* · log* _{m}*(

*a*) = log

*(*

_{m}*a*), −2 log(5) = log(5

^{n}^{−2}).

Find two different ways to rewrite 5^{−2}

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

Refer to parts (a) and (b).