   Chapter 0.8, Problem 19E

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, logb2logb5logb4=logb.

Explanation

Given information:

The logarithmic expression is logb2logb5logb4=logb

Consider the left-hand side of logarithmic expression, logb2logb5logb4=logb

logb2logb5logb4

Take minus common from last two term

logb2(logb5+logb4)

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

logb2

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