   Chapter 0.8, Problem 26E

Chapter
Section
Textbook Problem

In Exercises 17–28, use the logarithm identities to obtain the missing quantity.

To determine

The missing value in logarithmic expression,

4logbp3logbq2logbr=logb.

Explanation

Given information:

The logarithmic expression is 4logbp3logbq2logbr=logb

Consider the left-hand side of logarithmic expression, 4logbp3logbq2logbr=logb

4logbp3logbq2logbr

Now apply the logarithmic identity, mlogab=logabm

4logbp3logbq2logbr=logbp4logbq3logbr2=logbp4(logbq3+logbr2)

Now apply the logarithmic identity, logam+<

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