Applied Calculus
Applied Calculus
7th Edition
ISBN: 9781337291248
Author: Waner, Stefan.
Publisher: Cengage Learning,
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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 4−3=164
Logarithmic Form

Expert Solution & Answer
Check Mark

Answer to Problem 1E

Solution:

The complete table is,

Exponent Form 102=100 43=64 44=256 0.450=1 812=22 4−3=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 4−3=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, 4−3=164

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

Then the exponent form 4−3=164 mean logarithmic form log4164=−3.

Hence, the complete table is

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

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Chapter 0 Solutions

Applied Calculus

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Ch. 0.1 - Prob. 11ECh. 0.1 - Prob. 12ECh. 0.1 - Prob. 13ECh. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Prob. 15ECh. 0.1 - Prob. 16ECh. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Prob. 18ECh. 0.1 - Prob. 19ECh. 0.1 - Prob. 20ECh. 0.1 - Prob. 21ECh. 0.1 - Prob. 22ECh. 0.1 - Prob. 23ECh. 0.1 - Prob. 24ECh. 0.1 - Prob. 25ECh. 0.1 - Prob. 26ECh. 0.1 - Prob. 27ECh. 0.1 - Prob. 28ECh. 0.1 - Prob. 29ECh. 0.1 - Prob. 30ECh. 0.1 - Prob. 31ECh. 0.1 - Prob. 32ECh. 0.1 - Prob. 33ECh. 0.1 - Prob. 34ECh. 0.1 - Prob. 35ECh. 0.1 - Prob. 36ECh. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Prob. 38ECh. 0.1 - Prob. 39ECh. 0.1 - Prob. 40ECh. 0.1 - Prob. 41ECh. 0.1 - Prob. 42ECh. 0.1 - Prob. 43ECh. 0.1 - Prob. 44ECh. 0.1 - Prob. 45ECh. 0.1 - Prob. 46ECh. 0.1 - Prob. 47ECh. 0.1 - Prob. 48ECh. 0.1 - Prob. 49ECh. 0.1 - Prob. 50ECh. 0.2 - Evaluate the expression sin Exercises 116. 33Ch. 0.2 - Prob. 2ECh. 0.2 - Evaluate the expression sin Exercises 116. 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Prob. 1ECh. 0.7 - Prob. 2ECh. 0.7 - Prob. 3ECh. 0.7 - Prob. 4ECh. 0.7 - Prob. 5ECh. 0.7 - Prob. 6ECh. 0.7 - Prob. 7ECh. 0.7 - Prob. 8ECh. 0.7 - Sketch the graphs of the equations in Exercises...Ch. 0.7 - Prob. 10ECh. 0.7 - Prob. 11ECh. 0.7 - Prob. 12ECh. 0.7 - Prob. 13ECh. 0.7 - Prob. 14ECh. 0.7 - Prob. 15ECh. 0.7 - Prob. 16ECh. 0.7 - Find the value of k such that (1,k) is equidistant...Ch. 0.7 - Find the value of k such that (k,k) is equidistant...Ch. 0.7 - Prob. 19ECh. 0.7 - Describe the set of points (x,y) such that...Ch. 0.8 - Prob. 1ECh. 0.8 - Prob. 2ECh. 0.8 - Prob. 3ECh. 0.8 - Prob. 4ECh. 0.8 - Prob. 5ECh. 0.8 - Prob. 6ECh. 0.8 - Prob. 7ECh. 0.8 - Prob. 8ECh. 0.8 - Prob. 9ECh. 0.8 - Prob. 10ECh. 0.8 - Prob. 11ECh. 0.8 - Prob. 12ECh. 0.8 - Prob. 13ECh. 0.8 - Prob. 14ECh. 0.8 - Prob. 15ECh. 0.8 - Prob. 16ECh. 0.8 - Prob. 17ECh. 0.8 - Prob. 18ECh. 0.8 - Prob. 19ECh. 0.8 - Prob. 20ECh. 0.8 - Prob. 21ECh. 0.8 - Prob. 22ECh. 0.8 - Prob. 23ECh. 0.8 - In Exercises 1728, use the logarithm identities to...Ch. 0.8 - Prob. 25ECh. 0.8 - Prob. 26ECh. 0.8 - Prob. 27ECh. 0.8 - Prob. 28ECh. 0.8 - Prob. 29ECh. 0.8 - Prob. 30ECh. 0.8 - Let a=log2,b=log3, and c=log7. In Exercises 2946,...Ch. 0.8 - Prob. 32ECh. 0.8 - Let a=log2,b=log3, and c=log7. In Exercises 2946,...Ch. 0.8 - Prob. 34ECh. 0.8 - Prob. 35ECh. 0.8 - Prob. 36ECh. 0.8 - Prob. 37ECh. 0.8 - Prob. 38ECh. 0.8 - Prob. 39ECh. 0.8 - Prob. 40ECh. 0.8 - Prob. 41ECh. 0.8 - Prob. 42ECh. 0.8 - Prob. 43ECh. 0.8 - Prob. 44ECh. 0.8 - Prob. 45ECh. 0.8 - Prob. 46ECh. 0.8 - Prob. 47ECh. 0.8 - Prob. 48ECh. 0.8 - Prob. 49ECh. 0.8 - Prob. 50ECh. 0.8 - Prob. 51ECh. 0.8 - Prob. 52ECh. 0.8 - Prob. 53ECh. 0.8 - Prob. 54ECh. 0.8 - Prob. 55ECh. 0.8 - Prob. 56E
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