EBK NATURE OF MATHEMATICS
EBK NATURE OF MATHEMATICS
13th Edition
ISBN: 9781305855588
Author: SMITH
Publisher: CENGAGE CO
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Chapter 10.CR, Problem 1CR
To determine

(a)

To simplify:

The expression log10+lne+log22.

Expert Solution
Check Mark

Answer to Problem 1CR

Solution:

The simplified form of the given expression is 3.

Explanation of Solution

Approach:

For positive b and A, b1.

bx=A means x=logbA

Here x is called the logarithm and A is called the argument.

The result on logarithm is given as,

logaa=1

Calculation:

Consider the given expression,

log10+lne+log22

Now, log10 is the exponent on 10, so it can be written as log1010 and lne is the exponent on e, so it can be written as lnee, log2 is the exponent on 2, so it can be written as log22.

The given expression can be simplified as,

log10+lne+log22=log1010+lnee+log22=1+1+1=3

The simplified form of the given expression is 3.

To determine

(b)

To simplify:

The expression log525125.

Expert Solution
Check Mark

Answer to Problem 1CR

Solution:

The simplified form of the given expression is 1.

Explanation of Solution

Approach:

For positive b and A, b1.

bx=A means x=logbA

Here x is called the logarithm and A is called the argument.

The results on logarithm are given as,

logbxy=logbxlogbyandlogaa=1

Also, loga1=0

Calculation:

Consider the given expression,

log525125

The given expression can be simplified as,

log525125=log55253=log515

By results on logarithm,

log515=log51log55=01=1

The simplified form of the given expression is 1.

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Chapter 10 Solutions

EBK NATURE OF MATHEMATICS

Ch. 10.1 - Prob. 11PSCh. 10.1 - Write the equations in Problems 912 in logarithmic...Ch. 10.1 - Prob. 13PSCh. 10.1 - Prob. 14PSCh. 10.1 - Prob. 15PSCh. 10.1 - In Problems 1318 , use the definition of logarithm...Ch. 10.1 - Prob. 17PSCh. 10.1 - Prob. 18PSCh. 10.1 - Solve each exponential equation in Problems 1922....Ch. 10.1 - Prob. 20PSCh. 10.1 - Prob. 21PSCh. 10.1 - Prob. 22PSCh. 10.1 - Prob. 23PSCh. 10.1 - Prob. 24PSCh. 10.1 - Prob. 25PSCh. 10.1 - Prob. 26PSCh. 10.1 - Prob. 27PSCh. 10.1 - Prob. 28PSCh. 10.1 - Prob. 29PSCh. 10.1 - Prob. 30PSCh. 10.1 - Prob. 31PSCh. 10.1 - Prob. 32PSCh. 10.1 - Prob. 33PSCh. 10.1 - Prob. 34PSCh. 10.1 - Prob. 35PSCh. 10.1 - Prob. 36PSCh. 10.1 - Prob. 37PSCh. 10.1 - Prob. 38PSCh. 10.1 - Prob. 39PSCh. 10.1 - Prob. 40PSCh. 10.1 - Prob. 41PSCh. 10.1 - Prob. 42PSCh. 10.1 - Prob. 43PSCh. 10.1 - Prob. 44PSCh. 10.1 - Prob. 45PSCh. 10.1 - Prob. 46PSCh. 10.1 - Prob. 47PSCh. 10.1 - Prob. 48PSCh. 10.1 - Prob. 49PSCh. 10.1 - In 2012 the minimum wage in California was 8.00....Ch. 10.1 - Prob. 51PSCh. 10.1 - Prob. 52PSCh. 10.1 - Prob. 53PSCh. 10.1 - Prob. 54PSCh. 10.1 - Prob. 55PSCh. 10.1 - Prob. 56PSCh. 10.1 - Prob. 57PSCh. 10.1 - Prob. 58PSCh. 10.1 - Prob. 59PSCh. 10.1 - Prob. 60PSCh. 10.2 - IN YOUR OWN WORDS What is a logarithmic equation?Ch. 10.2 - IN YOUR OWN WORDS What are the four types of...Ch. 10.2 - Prob. 3PSCh. 10.2 - Prob. 4PSCh. 10.2 - Prob. 5PSCh. 10.2 - Prob. 6PSCh. 10.2 - Prob. 7PSCh. 10.2 - Prob. 8PSCh. 10.2 - Prob. 9PSCh. 10.2 - Prob. 10PSCh. 10.2 - Prob. 11PSCh. 10.2 - Classify each of the statements in Problems 518 as...Ch. 10.2 - Prob. 13PSCh. 10.2 - Prob. 14PSCh. 10.2 - Prob. 15PSCh. 10.2 - Prob. 16PSCh. 10.2 - Prob. 17PSCh. 10.2 - Prob. 18PSCh. 10.2 - Prob. 19PSCh. 10.2 - Prob. 20PSCh. 10.2 - Prob. 21PSCh. 10.2 - Prob. 22PSCh. 10.2 - Prob. 23PSCh. 10.2 - Prob. 24PSCh. 10.2 - Prob. 25PSCh. 10.2 - Prob. 26PSCh. 10.2 - Prob. 27PSCh. 10.2 - Prob. 28PSCh. 10.2 - Prob. 29PSCh. 10.2 - Prob. 30PSCh. 10.2 - Prob. 31PSCh. 10.2 - Prob. 32PSCh. 10.2 - Prob. 33PSCh. 10.2 - Prob. 34PSCh. 10.2 - Prob. 35PSCh. 10.2 - Prob. 36PSCh. 10.2 - Prob. 37PSCh. 10.2 - Prob. 38PSCh. 10.2 - Prob. 39PSCh. 10.2 - Prob. 40PSCh. 10.2 - Prob. 41PSCh. 10.2 - Prob. 42PSCh. 10.2 - Prob. 43PSCh. 10.2 - Prob. 44PSCh. 10.2 - Prob. 45PSCh. 10.2 - Prob. 46PSCh. 10.2 - Prob. 47PSCh. 10.2 - Prob. 48PSCh. 10.2 - Prob. 49PSCh. 10.2 - Prob. 50PSCh. 10.2 - Prob. 51PSCh. 10.2 - Prob. 52PSCh. 10.2 - Prob. 53PSCh. 10.2 - Prob. 54PSCh. 10.2 - Prob. 55PSCh. 10.2 - Prob. 56PSCh. 10.2 - Prob. 57PSCh. 10.2 - Prob. 58PSCh. 10.2 - Prob. 59PSCh. 10.2 - Prob. 60PSCh. 10.3 - What is the growth/decay formula?Ch. 10.3 - Prob. 2PSCh. 10.3 - Prob. 3PSCh. 10.3 - Prob. 4PSCh. 10.3 - Prob. 5PSCh. 10.3 - Prob. 6PSCh. 10.3 - Prob. 7PSCh. 10.3 - Prob. 8PSCh. 10.3 - Prob. 9PSCh. 10.3 - Prob. 10PSCh. 10.3 - Prob. 11PSCh. 10.3 - Prob. 12PSCh. 10.3 - Prob. 13PSCh. 10.3 - Prob. 14PSCh. 10.3 - Prob. 15PSCh. 10.3 - Find the half-life to the nearest year of the...Ch. 10.3 - Prob. 17PSCh. 10.3 - Prob. 18PSCh. 10.3 - Prob. 19PSCh. 10.3 - Prob. 20PSCh. 10.3 - Prob. 21PSCh. 10.3 - Prob. 22PSCh. 10.3 - Prob. 23PSCh. 10.3 - Prob. 24PSCh. 10.3 - Prob. 25PSCh. 10.3 - Prob. 26PSCh. 10.3 - Prob. 27PSCh. 10.3 - Prob. 28PSCh. 10.3 - Prob. 29PSCh. 10.3 - Prob. 30PSCh. 10.3 - Prob. 31PSCh. 10.3 - Prob. 32PSCh. 10.3 - Prob. 33PSCh. 10.3 - Prob. 34PSCh. 10.3 - Prob. 35PSCh. 10.3 - Prob. 36PSCh. 10.3 - Prob. 37PSCh. 10.3 - Prob. 38PSCh. 10.3 - The atmospheric pressure P in pounds per square...Ch. 10.3 - Prob. 40PSCh. 10.3 - Prob. 41PSCh. 10.3 - Prob. 42PSCh. 10.3 - Prob. 43PSCh. 10.3 - Prob. 44PSCh. 10.3 - Find the following information for each of the...Ch. 10.3 - Prob. 46PSCh. 10.3 - Prob. 47PSCh. 10.3 - Prob. 48PSCh. 10.3 - Prob. 49PSCh. 10.3 - Prob. 50PSCh. 10.3 - Prob. 51PSCh. 10.3 - Prob. 52PSCh. 10.3 - Prob. 53PSCh. 10.3 - Prob. 54PSCh. 10.3 - Prob. 55PSCh. 10.3 - A certain artifact is tested by carbon dating and...Ch. 10.3 - Prob. 57PSCh. 10.3 - Prob. 58PSCh. 10.3 - HISTORICAL QUEST The Shroud of Turin see Figure...Ch. 10.3 - Prob. 60PSCh. 10.CR - Prob. 1CRCh. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 4CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - Prob. 7CRCh. 10.CR - Prob. 8CRCh. 10.CR - Prob. 9CRCh. 10.CR - Prob. 10CRCh. 10.CR - Prob. 11CRCh. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 18CRCh. 10.CR - Prob. 19CRCh. 10.CR - Prob. 20CR
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