   Chapter 0.8, Problem 30E

Chapter
Section
Textbook Problem

Let a = log 2 , b = log 3 , and c = log 7 . In Exercises 29–46, use the logarithm identities to express the given quantity in terms of a , b , and c . log 14

To determine

To calculate: The given quantity, log14 in term of a, b and c.

Explanation

Given information:

The given value of a, b and c is

a=log2, b=log3 and c=log7

Formula used:

The logarithmic identity,

loga(mn)=logam+logan

Here, a, m and n are real number.

Calculation:

Consider the quantity, log14

Now number 14 can be written as product of 2 and 7

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