### Home > INT3 > Chapter 10 > Lesson 10.1.5 > Problem 10-72

10-72.

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

^{3/2}) can be written aslog(7), log(7 ^{3}), 3log(), 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.

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).

*o*log(*n ^{b}a^{b}*),

*b*log(

*na*)

*,*

^{o}*bo*log(

*na*)