Discrete Mathematics With Applicat...

5th Edition

EPP + 1 other

ISBN: 9781337694193

Textbook Problem

1 views

The properties of logarithm established in 33-35 are used in Sections 11.4 and 11.5. Prove that for all real numbers a, b, and x with b and x positive and b ≠ 1 ,
log b ( x a ) = a log b x .

To determine

To prove that logb(x)a=alogbx for all real numbers a,b and x with b and x positive and b≠1 ,

Explanation

Given information:

a,

b,x,y are all positive real numbers.

Concept used:

logab=cb=ac

Proof:

Let a,b and x are positive real numbers and b≠1.

Suppose that logb(x)a=m

Recall the fact that, for each positive real number s and real number t.

logbs=t⇔bt=s..........(1)

As logb(x)a=m get bm=xa [By the fact (1) ]

( b m)

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

Chapter 7 Solutions

Show all chapter solutions

Sect-7.1 P-1TY Sect-7.1 P-2TY Sect-7.1 P-3TY Sect-7.1 P-4TY Sect-7.1 P-5TY Sect-7.1 P-6TY Sect-7.1 P-7TY Sect-7.1 P-8TY Sect-7.1 P-9TY Sect-7.1 P-1ES

Sect-7.1 P-2ES Sect-7.1 P-3ES Sect-7.1 P-4ES Sect-7.1 P-5ES Sect-7.1 P-6ES Sect-7.1 P-7ES Sect-7.1 P-8ES Sect-7.1 P-9ES Sect-7.1 P-10ES Sect-7.1 P-11ES Sect-7.1 P-12ES Sect-7.1 P-13ES Sect-7.1 P-14ES Sect-7.1 P-15ES Sect-7.1 P-16ES Sect-7.1 P-17ES Sect-7.1 P-18ES Sect-7.1 P-19ES Sect-7.1 P-20ES Sect-7.1 P-21ES Sect-7.1 P-22ES Sect-7.1 P-23ES Sect-7.1 P-24ES Sect-7.1 P-25ES Sect-7.1 P-26ES Sect-7.1 P-27ES Sect-7.1 P-28ES Sect-7.1 P-29ES Sect-7.1 P-30ES Sect-7.1 P-31ES Sect-7.1 P-32ES Sect-7.1 P-33ES Sect-7.1 P-34ES Sect-7.1 P-35ES Sect-7.1 P-36ES Sect-7.1 P-37ES Sect-7.1 P-38ES Sect-7.1 P-39ES Sect-7.1 P-40ES Sect-7.1 P-41ES Sect-7.1 P-42ES Sect-7.1 P-43ES Sect-7.1 P-44ES Sect-7.1 P-45ES Sect-7.1 P-46ES Sect-7.1 P-47ES Sect-7.1 P-48ES Sect-7.1 P-49ES Sect-7.1 P-50ES Sect-7.1 P-51ES Sect-7.1 P-52ES Sect-7.1 P-53ES Sect-7.2 P-1TY Sect-7.2 P-2TY Sect-7.2 P-3TY Sect-7.2 P-4TY Sect-7.2 P-5TY Sect-7.2 P-6TY Sect-7.2 P-7TY Sect-7.2 P-8TY Sect-7.2 P-9TY Sect-7.2 P-10TY Sect-7.2 P-11TY Sect-7.2 P-1ES Sect-7.2 P-2ES Sect-7.2 P-3ES Sect-7.2 P-4ES Sect-7.2 P-5ES Sect-7.2 P-6ES Sect-7.2 P-7ES Sect-7.2 P-8ES Sect-7.2 P-9ES Sect-7.2 P-10ES Sect-7.2 P-11ES Sect-7.2 P-12ES Sect-7.2 P-13ES Sect-7.2 P-14ES Sect-7.2 P-15ES Sect-7.2 P-16ES Sect-7.2 P-17ES Sect-7.2 P-18ES Sect-7.2 P-19ES Sect-7.2 P-20ES Sect-7.2 P-21ES Sect-7.2 P-22ES Sect-7.2 P-23ES Sect-7.2 P-24ES Sect-7.2 P-25ES Sect-7.2 P-26ES Sect-7.2 P-27ES Sect-7.2 P-28ES Sect-7.2 P-29ES Sect-7.2 P-30ES Sect-7.2 P-31ES Sect-7.2 P-32ES Sect-7.2 P-33ES Sect-7.2 P-34ES Sect-7.2 P-35ES Sect-7.2 P-36ES Sect-7.2 P-37ES Sect-7.2 P-38ES Sect-7.2 P-39ES Sect-7.2 P-40ES Sect-7.2 P-41ES Sect-7.2 P-42ES Sect-7.2 P-43ES Sect-7.2 P-44ES Sect-7.2 P-45ES Sect-7.2 P-46ES Sect-7.2 P-47ES Sect-7.2 P-48ES Sect-7.2 P-49ES Sect-7.2 P-50ES Sect-7.2 P-51ES Sect-7.2 P-52ES Sect-7.2 P-53ES Sect-7.2 P-54ES Sect-7.2 P-55ES Sect-7.2 P-56ES Sect-7.2 P-57ES Sect-7.2 P-58ES Sect-7.3 P-1TY Sect-7.3 P-2TY Sect-7.3 P-3TY Sect-7.3 P-4TY Sect-7.3 P-5TY Sect-7.3 P-1ES Sect-7.3 P-2ES Sect-7.3 P-3ES Sect-7.3 P-4ES Sect-7.3 P-5ES Sect-7.3 P-6ES Sect-7.3 P-7ES Sect-7.3 P-8ES Sect-7.3 P-9ES Sect-7.3 P-10ES Sect-7.3 P-11ES Sect-7.3 P-12ES Sect-7.3 P-13ES Sect-7.3 P-14ES Sect-7.3 P-15ES Sect-7.3 P-16ES Sect-7.3 P-17ES Sect-7.3 P-18ES Sect-7.3 P-19ES Sect-7.3 P-20ES Sect-7.3 P-21ES Sect-7.3 P-22ES Sect-7.3 P-23ES Sect-7.3 P-24ES Sect-7.3 P-25ES Sect-7.3 P-26ES Sect-7.3 P-27ES Sect-7.3 P-28ES Sect-7.3 P-29ES Sect-7.3 P-30ES Sect-7.4 P-1TY Sect-7.4 P-2TY Sect-7.4 P-3TY Sect-7.4 P-4TY Sect-7.4 P-5TY Sect-7.4 P-6TY Sect-7.4 P-7TY Sect-7.4 P-8TY Sect-7.4 P-9TY Sect-7.4 P-1ES Sect-7.4 P-2ES Sect-7.4 P-3ES Sect-7.4 P-4ES Sect-7.4 P-5ES Sect-7.4 P-6ES Sect-7.4 P-7ES Sect-7.4 P-8ES Sect-7.4 P-9ES Sect-7.4 P-10ES Sect-7.4 P-11ES Sect-7.4 P-12ES Sect-7.4 P-13ES Sect-7.4 P-14ES Sect-7.4 P-15ES Sect-7.4 P-16ES Sect-7.4 P-17ES Sect-7.4 P-18ES Sect-7.4 P-19ES Sect-7.4 P-20ES Sect-7.4 P-21ES Sect-7.4 P-22ES Sect-7.4 P-23ES Sect-7.4 P-24ES Sect-7.4 P-25ES Sect-7.4 P-26ES Sect-7.4 P-27ES Sect-7.4 P-28ES Sect-7.4 P-29ES Sect-7.4 P-30ES Sect-7.4 P-31ES Sect-7.4 P-32ES Sect-7.4 P-33ES Sect-7.4 P-34ES Sect-7.4 P-35ES Sect-7.4 P-36ES Sect-7.4 P-37ES Sect-7.4 P-38ES

© bartleby 2019