   Chapter 0.8, Problem 4E

Chapter
Section
Textbook Problem

In Exercises 1–4, complete the given tables. Exponential Form Logarithmic Form log 2 1 2 = − 1 log 10 100 , 000 = 5 log 10 0.00001 = − 5 log 2 2 , 048 = 11 log 16 1 2 = − 1 4 log 0.25 0.0625 = 2

To determine

To fill: The following table,

 Exponent Form Logarithmic Form log212=−1 log10100,000=5 log100.00001=−5 log22,048=11 log1612=−14 log0.250.0625=2
Explanation

Given information:

The given table is,

 Exponent Form Logarithmic Form log212=−1 log10100,000=5 log100.00001=−5 log22,048=11 log1612=−14 log0.250.0625=2

Consider the logarithmic, log212=1

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

Then the logarithmic form log212=1 mean exponent form 21=12.

Consider the logarithmic, log10100000=5

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

Then the logarithmic form log10100000=5 mean exponent form 105=100000.

Consider the logarithmic, log100.00001=5

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

Then the logarithmic form log100.00001=5 mean exponent form 105=0.00001.

Consider the logarithmic, log22,048=11

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

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