   Chapter 0.8, Problem 44E

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 25

To determine

To calculate: The given quantity, log25

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 ( m n )=log a mlog a n

and log a b m =mlog a b

Here, a, m and b are real number.

Calculation:

Consider the quantity, log25

log25=log5 2

Now apply the logarithmic identity, log a b m =mlog a b

log5 2

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