   Chapter 7.2, Problem 34ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# The properties of logarithm established in 33-35 are used in sections 11.4 and 11.5. Prove that for all positive real numbers b,x, and y with b ≠ 1 . log b ( x y ) = log b x + log b y .

To determine

To prove that logbxy=logbx+logby for all positive real numbers b,x and y with b1.

Explanation

Given information:

b,x,y are all positive real numbers.

Concept used:

logab=cb=ac

Calculation:

Let x,y and b1 be positive real numbers.

Suppose logbx=m,logby=n.

Then bm=x,bn=y

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