   Chapter 0.8, Problem 42E

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 7 , 000

To determine

To calculate: The given quantity, log7000

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,

log a b m =mlog a b

and log a ( mn )=log a m+log a n

Here, a, m and b are real number.

Calculation:

Consider the quantity, log7000

log7000=log( 710 3 )

Now apply the logarithmic identity, log a ( m

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