   Chapter 0.8, Problem 25E

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,

2logbx+3logby4logbz=logb.

Explanation

Given information:

The logarithmic expression is 2logbx+3logby4logbz=logb

Consider the left-hand side of logarithmic expression, 2logbx+3logby4logbz=logb

2logbx+3logby4logbz

Now apply the logarithmic identity, mlogab=logabm

2logbx+3logby4logbz=logbx2+logby3logbz4

Now apply the logarithmic identity, logam+logan=loga(mn)

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