BuyFind

Finite Mathematics

7th Edition
Stefan Waner + 1 other
Publisher: Cengage Learning
ISBN: 9781337280426
BuyFind

Finite Mathematics

7th Edition
Stefan Waner + 1 other
Publisher: Cengage Learning
ISBN: 9781337280426

Solutions

Chapter 0.8, Problem 1E
To determine

To fill: The following table,

Exponent Form 102=100 43=64 44=256 0.450=1 812=22 43=164
Logarithmic Form

Expert Solution

Answer to Problem 1E

Solution:

The complete table is,

Exponent Form 102=100 43=64 44=256 0.450=1 812=22 43=164
Logarithmic Form log10100=2 log464=3 log4256=4 log0.451=0 log822=12 log4164=3

Explanation of Solution

Given information:

The given table is,

Exponent Form 102=100 43=64 44=256 0.450=1 812=22 43=164
Logarithmic Form

Consider the exponent, 102=100

The exponent form ac=b means logarithmic form, logab=c.

Then the exponent form 102=100 mean logarithmic form log10100=2.

Consider the exponent, 43=64

Since the exponent form ac=b means logarithmic form, logab=c.

Then the exponent form 43=64 mean logarithmic form log464=3.

Consider the exponent, 44=256

Since the exponent form ac=b means logarithmic form, logab=c.

Then the exponent form 44=256 mean logarithmic form log4256=4.

Consider the exponent, 0.450=1

Since the exponent form ac=b means logarithmic form, logab=c.

Then the exponent form 0.450=1 mean logarithmic form log0.451=0.

Consider the exponent, 812=22

Since the exponent form ac=b means logarithmic form, logab=c.

Then the exponent form 812=22 mean logarithmic form log822=12.

Consider the exponent, 43=164

Since the exponent form ac=b means logarithmic form, logab=c.

Then the exponent form 43=164 mean logarithmic form log4164=3.

Hence, the complete table is

Exponent Form 102=100 43=64 44=256 0.450=1 812=22 43=164
Logarithmic Form log10100=2 log464=3 log4256=4 log0.451=0 log822=12 log4164=3

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!