To find: Given equation has an extraneous solution or not.

$x=−2,8$

Given:

An equation $log4x+log4x+6=2$ is given. …… ( 1)

Concept used:

If $b,y>0$ and $b≠1$ , then the exponential equation which is equivalent to the logarithmic equation $logby=x$ is $bx=y$ .

Calculation:

$log4x+log4x+6=2 logamn=logam+loganlog4xx+6=2$

Take exponentiation on each side with base 4.

$4log4xx+6=42 aloga=1xx+6=16x2+6x=16x2+6x−16=0$

Now factorize of the above equation;

$x2−8x+2x−16=0xx−8+2x−8=0x+2x−8=0$

Thus,

$x=−2,8$

Now check the extraneous solution then put the value of $x$ in the above-given equation (1):

Case(1): substitute the value of $x=−2$ in above equation (1)

$log4−2+log4−2+6∞+log44 logaa=1∞+1∞ ∞=infinity$

Therefore,

$∞≠2$

Now $x=−2$ is not satisfy the extraneous solution.

Case(2): Substitute the value of $x=8$ in above equation (1)

$log48+log48+6log48+log414 logamn=logam+loganlog4112 log4112=3⋅4033⋅403$

Thus,

$3⋅403≠2$

Therefore, $x=8$ is not satisfy the extraneous solution.

Conclusion:

Hence, by the property of logarithm then an extraneous solution does not satisfy at $x=−2,8$ .

Chapter 4, Problem 23T

Chapter 4, Problem 25T

Chapter 4 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

Ch. 4.1 - Prob. 1GP Ch. 4.1 - Prob. 2GP Ch. 4.1 - Prob. 3GP Ch. 4.1 - Prob. 4GP Ch. 4.1 - Prob. 5GP Ch. 4.1 - Prob. 6GP Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E

Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E Ch. 4.1 - Prob. 11E Ch. 4.1 - Prob. 12E Ch. 4.1 - Prob. 13E Ch. 4.1 - Prob. 14E Ch. 4.1 - Prob. 15E Ch. 4.1 - Prob. 16E Ch. 4.1 - Prob. 17E Ch. 4.1 - Prob. 18E Ch. 4.1 - Prob. 19E Ch. 4.1 - Prob. 20E Ch. 4.1 - Prob. 21E Ch. 4.1 - Prob. 22E Ch. 4.1 - Prob. 23E Ch. 4.1 - Prob. 24E Ch. 4.1 - Prob. 25E Ch. 4.1 - Prob. 26E Ch. 4.1 - Prob. 27E Ch. 4.1 - Prob. 28E Ch. 4.1 - Prob. 29E Ch. 4.1 - Prob. 30E Ch. 4.1 - Prob. 31E Ch. 4.1 - Prob. 32E Ch. 4.1 - Prob. 33E Ch. 4.1 - Prob. 34E Ch. 4.1 - Prob. 35PS Ch. 4.1 - Prob. 36PS Ch. 4.1 - Prob. 37PS Ch. 4.1 - Prob. 38PS Ch. 4.1 - Prob. 39PS Ch. 4.1 - Prob. 40PS Ch. 4.1 - Prob. 41PS Ch. 4.1 - Prob. 42PS Ch. 4.1 - Prob. 43PS Ch. 4.1 - Prob. 44PS Ch. 4.2 - Prob. 1GP Ch. 4.2 - Prob. 2GP Ch. 4.2 - Prob. 3GP Ch. 4.2 - Prob. 4GP Ch. 4.2 - Prob. 5GP Ch. 4.2 - Prob. 6GP Ch. 4.2 - Prob. 7GP Ch. 4.2 - Prob. 8GP Ch. 4.2 - Prob. 1E Ch. 4.2 - Prob. 2E Ch. 4.2 - Prob. 3E Ch. 4.2 - Prob. 4E Ch. 4.2 - Prob. 5E Ch. 4.2 - Prob. 6E Ch. 4.2 - Prob. 7E Ch. 4.2 - Prob. 8E Ch. 4.2 - Prob. 9E Ch. 4.2 - Prob. 10E Ch. 4.2 - Prob. 11E Ch. 4.2 - Prob. 12E Ch. 4.2 - Prob. 13E Ch. 4.2 - Prob. 14E Ch. 4.2 - Prob. 15E Ch. 4.2 - Prob. 16E Ch. 4.2 - Prob. 17E Ch. 4.2 - Prob. 18E Ch. 4.2 - Prob. 19E Ch. 4.2 - Prob. 20E Ch. 4.2 - Prob. 21E Ch. 4.2 - Prob. 22E Ch. 4.2 - Prob. 23E Ch. 4.2 - Prob. 24E Ch. 4.2 - Prob. 25E Ch. 4.2 - Prob. 26E Ch. 4.2 - Prob. 27E Ch. 4.2 - Prob. 28E Ch. 4.2 - Prob. 29E Ch. 4.2 - Prob. 30PS Ch. 4.2 - Prob. 31PS Ch. 4.2 - Prob. 32PS Ch. 4.2 - Prob. 33PS Ch. 4.2 - Prob. 34PS Ch. 4.2 - Prob. 35PS Ch. 4.2 - Prob. 36PS Ch. 4.2 - Prob. 1P Ch. 4.2 - Prob. 2P Ch. 4.2 - Prob. 3P Ch. 4.2 - Prob. 4P Ch. 4.2 - Prob. 5P Ch. 4.2 - Prob. 6P Ch. 4.2 - Prob. 7P Ch. 4.3 - Prob. 1GP Ch. 4.3 - Prob. 2GP Ch. 4.3 - Prob. 3GP Ch. 4.3 - Prob. 4GP Ch. 4.3 - Prob. 5GP Ch. 4.3 - Prob. 6GP Ch. 4.3 - Prob. 7GP Ch. 4.3 - Prob. 8GP Ch. 4.3 - Prob. 9GP Ch. 4.3 - Prob. 10GP Ch. 4.3 - Prob. 11GP Ch. 4.3 - Prob. 1E Ch. 4.3 - Prob. 2E Ch. 4.3 - Prob. 3E Ch. 4.3 - Prob. 4E Ch. 4.3 - Prob. 5E Ch. 4.3 - Prob. 6E Ch. 4.3 - Prob. 7E Ch. 4.3 - Prob. 8E Ch. 4.3 - Prob. 9E Ch. 4.3 - Prob. 10E Ch. 4.3 - Prob. 11E Ch. 4.3 - Prob. 12E Ch. 4.3 - Prob. 13E Ch. 4.3 - Prob. 14E Ch. 4.3 - Prob. 15E Ch. 4.3 - Prob. 16E Ch. 4.3 - Prob. 17E Ch. 4.3 - Prob. 18E Ch. 4.3 - Prob. 19E Ch. 4.3 - Prob. 20E Ch. 4.3 - Prob. 21E Ch. 4.3 - Prob. 22E Ch. 4.3 - Prob. 23E Ch. 4.3 - Prob. 24E Ch. 4.3 - Prob. 25E Ch. 4.3 - Prob. 26E Ch. 4.3 - Prob. 27E Ch. 4.3 - Prob. 28E Ch. 4.3 - Prob. 29E Ch. 4.3 - Prob. 30E Ch. 4.3 - Prob. 31E Ch. 4.3 - Prob. 32E Ch. 4.3 - Prob. 33E Ch. 4.3 - Prob. 34E Ch. 4.3 - Prob. 35E Ch. 4.3 - Prob. 36E Ch. 4.3 - Prob. 37E Ch. 4.3 - Prob. 38E Ch. 4.3 - Prob. 39E Ch. 4.3 - Prob. 40E Ch. 4.3 - Prob. 41E Ch. 4.3 - Prob. 42E Ch. 4.3 - Prob. 43E Ch. 4.3 - Prob. 44E Ch. 4.3 - Prob. 45E Ch. 4.3 - Prob. 46E Ch. 4.3 - Prob. 47E Ch. 4.3 - Prob. 48E Ch. 4.3 - Prob. 49E Ch. 4.3 - Prob. 50E Ch. 4.3 - Prob. 51E Ch. 4.3 - Prob. 52E Ch. 4.3 - Prob. 53E Ch. 4.3 - Prob. 54E Ch. 4.3 - Prob. 55PS Ch. 4.3 - Prob. 56PS Ch. 4.3 - Prob. 57PS Ch. 4.3 - Prob. 58PS Ch. 4.3 - Prob. 59PS Ch. 4.3 - Prob. 60PS Ch. 4.3 - Prob. 61PS Ch. 4.3 - Prob. 62PS Ch. 4.3 - Prob. 1Q Ch. 4.3 - Prob. 2Q Ch. 4.3 - Prob. 3Q Ch. 4.3 - Prob. 4Q Ch. 4.3 - Prob. 5Q Ch. 4.3 - Prob. 6Q Ch. 4.3 - Prob. 7Q Ch. 4.3 - Prob. 8Q Ch. 4.3 - Prob. 9Q Ch. 4.3 - Prob. 10Q Ch. 4.3 - Prob. 11Q Ch. 4.3 - Prob. 12Q Ch. 4.3 - Prob. 13Q Ch. 4.4 - Prob. 1GP Ch. 4.4 - Prob. 2GP Ch. 4.4 - Prob. 3GP Ch. 4.4 - Prob. 4GP Ch. 4.4 - Prob. 5GP Ch. 4.4 - Prob. 6GP Ch. 4.4 - Prob. 7GP Ch. 4.4 - Prob. 8GP Ch. 4.4 - Prob. 9GP Ch. 4.4 - Prob. 10GP Ch. 4.4 - Prob. 11GP Ch. 4.4 - Prob. 12GP Ch. 4.4 - Prob. 13GP Ch. 4.4 - Prob. 14GP Ch. 4.4 - Prob. 15GP Ch. 4.4 - Prob. 16GP Ch. 4.4 - Prob. 17GP Ch. 4.4 - Prob. 18GP Ch. 4.4 - Prob. 1E Ch. 4.4 - Prob. 2E Ch. 4.4 - Prob. 3E Ch. 4.4 - Prob. 4E Ch. 4.4 - Prob. 5E Ch. 4.4 - Prob. 6E Ch. 4.4 - Prob. 7E Ch. 4.4 - 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Prob. 59PS Ch. 4.4 - Prob. 60PS Ch. 4.4 - Prob. 61PS Ch. 4.4 - Prob. 62PS Ch. 4.4 - Prob. 63PS Ch. 4.4 - Prob. 1MRPS Ch. 4.4 - Prob. 2MRPS Ch. 4.4 - Prob. 3MRPS Ch. 4.4 - Prob. 4MRPS Ch. 4.4 - Prob. 5MRPS Ch. 4.4 - Prob. 6MRPS Ch. 4.4 - Prob. 7MRPS Ch. 4.5 - Prob. 1GP Ch. 4.5 - Prob. 2GP Ch. 4.5 - Prob. 3GP Ch. 4.5 - Prob. 4GP Ch. 4.5 - Prob. 5GP Ch. 4.5 - Prob. 6GP Ch. 4.5 - Prob. 7GP Ch. 4.5 - Prob. 8GP Ch. 4.5 - Prob. 9GP Ch. 4.5 - Prob. 10GP Ch. 4.5 - Prob. 11GP Ch. 4.5 - Prob. 1E Ch. 4.5 - Prob. 2E Ch. 4.5 - Prob. 3E Ch. 4.5 - Prob. 4E Ch. 4.5 - Prob. 5E Ch. 4.5 - Prob. 6E Ch. 4.5 - Prob. 7E Ch. 4.5 - Prob. 8E Ch. 4.5 - Prob. 9E Ch. 4.5 - Prob. 10E Ch. 4.5 - Prob. 11E Ch. 4.5 - Prob. 12E Ch. 4.5 - Prob. 13E Ch. 4.5 - Prob. 14E Ch. 4.5 - Prob. 15E Ch. 4.5 - Prob. 16E Ch. 4.5 - Prob. 17E Ch. 4.5 - Prob. 18E Ch. 4.5 - Prob. 19E Ch. 4.5 - Prob. 20E Ch. 4.5 - Prob. 21E Ch. 4.5 - Prob. 22E Ch. 4.5 - Prob. 23E Ch. 4.5 - Prob. 24E Ch. 4.5 - Prob. 25E Ch. 4.5 - Prob. 26E Ch. 4.5 - Prob. 27E Ch. 4.5 - Prob. 28E Ch. 4.5 - Prob. 29E Ch. 4.5 - Prob. 30E Ch. 4.5 - Prob. 31E Ch. 4.5 - Prob. 32E Ch. 4.5 - Prob. 33E Ch. 4.5 - Prob. 34E Ch. 4.5 - Prob. 35E Ch. 4.5 - Prob. 36E Ch. 4.5 - Prob. 37E Ch. 4.5 - Prob. 38E Ch. 4.5 - Prob. 39E Ch. 4.5 - Prob. 40E Ch. 4.5 - Prob. 41E Ch. 4.5 - Prob. 42E Ch. 4.5 - Prob. 43E Ch. 4.5 - Prob. 44E Ch. 4.5 - Prob. 45E Ch. 4.5 - Prob. 46E Ch. 4.5 - Prob. 47E Ch. 4.5 - Prob. 48E Ch. 4.5 - Prob. 49E Ch. 4.5 - Prob. 50E Ch. 4.5 - Prob. 51E Ch. 4.5 - Prob. 52E Ch. 4.5 - Prob. 53E Ch. 4.5 - Prob. 54E Ch. 4.5 - Prob. 55E Ch. 4.5 - Prob. 56E Ch. 4.5 - Prob. 57E Ch. 4.5 - Prob. 58E Ch. 4.5 - Prob. 59E Ch. 4.5 - Prob. 60E Ch. 4.5 - Prob. 61E Ch. 4.5 - Prob. 62E Ch. 4.5 - Prob. 63E Ch. 4.5 - Prob. 64E Ch. 4.5 - Prob. 65E Ch. 4.5 - Prob. 66E Ch. 4.5 - Prob. 67E Ch. 4.5 - Prob. 68E Ch. 4.5 - Prob. 69PS Ch. 4.5 - Prob. 70PS Ch. 4.5 - Prob. 71PS Ch. 4.5 - Prob. 72PS Ch. 4.5 - Prob. 73PS Ch. 4.5 - Prob. 74PS Ch. 4.5 - Prob. 1Q Ch. 4.5 - Prob. 2Q Ch. 4.5 - Prob. 3Q Ch. 4.5 - Prob. 4Q Ch. 4.5 - Prob. 5Q Ch. 4.5 - Prob. 6Q Ch. 4.5 - Prob. 7Q Ch. 4.5 - Prob. 8Q Ch. 4.5 - Prob. 9Q Ch. 4.5 - Prob. 10Q Ch. 4.5 - Prob. 11Q Ch. 4.5 - Prob. 12Q Ch. 4.5 - Prob. 13Q Ch. 4.5 - Prob. 14Q Ch. 4.5 - Prob. 15Q Ch. 4.5 - Prob. 16Q Ch. 4.5 - Prob. 17Q Ch. 4.5 - Prob. 18Q Ch. 4.5 - Prob. 19Q Ch. 4.5 - Prob. 20Q Ch. 4.5 - Prob. 1P Ch. 4.5 - Prob. 2P Ch. 4.5 - Prob. 3P Ch. 4.5 - Prob. 4P Ch. 4.5 - Prob. 5P Ch. 4.5 - Prob. 6P Ch. 4.5 - Prob. 7P Ch. 4.5 - Prob. 8P Ch. 4.5 - Prob. 9P Ch. 4.5 - Prob. 10P Ch. 4.5 - Prob. 11P Ch. 4.5 - Prob. 12P Ch. 4.5 - Prob. 13P Ch. 4.6 - Prob. 1GP Ch. 4.6 - Prob. 2GP Ch. 4.6 - Prob. 3GP Ch. 4.6 - Prob. 4GP Ch. 4.6 - Prob. 5GP Ch. 4.6 - Prob. 6GP Ch. 4.6 - Prob. 7GP Ch. 4.6 - Prob. 8GP Ch. 4.6 - Prob. 9GP Ch. 4.6 - Prob. 10GP Ch. 4.6 - Prob. 11GP Ch. 4.6 - Prob. 1E Ch. 4.6 - Prob. 2E Ch. 4.6 - Prob. 3E Ch. 4.6 - Prob. 4E Ch. 4.6 - Prob. 5E Ch. 4.6 - Prob. 6E Ch. 4.6 - Prob. 7E Ch. 4.6 - Prob. 8E Ch. 4.6 - Prob. 9E Ch. 4.6 - Prob. 10E Ch. 4.6 - Prob. 11E Ch. 4.6 - Prob. 12E Ch. 4.6 - Prob. 13E Ch. 4.6 - Prob. 14E Ch. 4.6 - Prob. 15E Ch. 4.6 - Prob. 16E Ch. 4.6 - Prob. 17E Ch. 4.6 - Prob. 18E Ch. 4.6 - Prob. 19E Ch. 4.6 - Prob. 20E Ch. 4.6 - Prob. 21E Ch. 4.6 - Prob. 22E Ch. 4.6 - Prob. 23E Ch. 4.6 - Prob. 24E Ch. 4.6 - Prob. 25E Ch. 4.6 - Prob. 26E Ch. 4.6 - Prob. 27E Ch. 4.6 - Prob. 28E Ch. 4.6 - Prob. 29E Ch. 4.6 - Prob. 30E Ch. 4.6 - Prob. 31E Ch. 4.6 - Prob. 32E Ch. 4.6 - Prob. 33E Ch. 4.6 - Prob. 34E Ch. 4.6 - Prob. 35E Ch. 4.6 - Prob. 36E Ch. 4.6 - Prob. 37E Ch. 4.6 - Prob. 38E Ch. 4.6 - Prob. 39E Ch. 4.6 - Prob. 40E Ch. 4.6 - Prob. 41E Ch. 4.6 - Prob. 42E Ch. 4.6 - Prob. 43E Ch. 4.6 - Prob. 44E Ch. 4.6 - Prob. 45E Ch. 4.6 - Prob. 46E Ch. 4.6 - Prob. 47E Ch. 4.6 - Prob. 48E Ch. 4.6 - Prob. 49E Ch. 4.6 - Prob. 50E Ch. 4.6 - Prob. 51E Ch. 4.6 - Prob. 52E Ch. 4.6 - Prob. 53E Ch. 4.6 - Prob. 54PS Ch. 4.6 - Prob. 55PS Ch. 4.6 - Prob. 56PS Ch. 4.6 - Prob. 57PS Ch. 4.6 - Prob. 58PS Ch. 4.6 - Prob. 59PS Ch. 4.6 - Prob. 60PS Ch. 4.6 - Prob. 61PS Ch. 4.6 - Prob. 1P Ch. 4.6 - Prob. 2P Ch. 4.6 - Prob. 3P Ch. 4.6 - Prob. 4P Ch. 4.6 - Prob. 5P Ch. 4.6 - Prob. 6P Ch. 4.6 - Prob. 7P Ch. 4.6 - Prob. 8P Ch. 4.6 - Prob. 9P Ch. 4.6 - Prob. 10P Ch. 4.6 - Prob. 11P Ch. 4.6 - Prob. 12P Ch. 4.6 - Prob. 13P Ch. 4.6 - Prob. 1.1P Ch. 4.6 - Prob. 1.2P Ch. 4.6 - Prob. 1.3P Ch. 4.6 - Prob. 1.4P Ch. 4.6 - Prob. 1.5P Ch. 4.6 - Prob. 1.6P Ch. 4.6 - Prob. 1.7P Ch. 4.6 - Prob. 1.8P Ch. 4.6 - Prob. 1.9P Ch. 4.6 - Prob. 1.10P Ch. 4.6 - Prob. 1.11P Ch. 4.6 - Prob. 1.12P Ch. 4.6 - Prob. 1.13P Ch. 4.6 - Prob. 1.14P Ch. 4.6 - Prob. 3DC Ch. 4.7 - Prob. 1GP Ch. 4.7 - Prob. 2GP Ch. 4.7 - Prob. 3GP Ch. 4.7 - Prob. 4GP Ch. 4.7 - Prob. 5GP Ch. 4.7 - Prob. 6GP Ch. 4.7 - Prob. 7GP Ch. 4.7 - Prob. 8GP Ch. 4.7 - Prob. 9GP Ch. 4.7 - Prob. 1E Ch. 4.7 - Prob. 2E Ch. 4.7 - Prob. 3E Ch. 4.7 - Prob. 4E Ch. 4.7 - Prob. 5E Ch. 4.7 - Prob. 6E Ch. 4.7 - Prob. 7E Ch. 4.7 - Prob. 8E Ch. 4.7 - Prob. 9E Ch. 4.7 - Prob. 10E Ch. 4.7 - Prob. 11E Ch. 4.7 - Prob. 12E Ch. 4.7 - Prob. 13E Ch. 4.7 - Prob. 14E Ch. 4.7 - Prob. 15E Ch. 4.7 - Prob. 16E Ch. 4.7 - Prob. 17E Ch. 4.7 - Prob. 18E Ch. 4.7 - Prob. 19E Ch. 4.7 - Prob. 20E Ch. 4.7 - Prob. 21E Ch. 4.7 - Prob. 22E Ch. 4.7 - Prob. 23E Ch. 4.7 - Prob. 24E Ch. 4.7 - Prob. 25E Ch. 4.7 - Prob. 26E Ch. 4.7 - Prob. 27E Ch. 4.7 - Prob. 28E Ch. 4.7 - Prob. 29E Ch. 4.7 - Prob. 30E Ch. 4.7 - Prob. 31PS Ch. 4.7 - Prob. 32PS Ch. 4.7 - Prob. 33PS Ch. 4.7 - Prob. 34PS Ch. 4.7 - Prob. 35PS Ch. 4.7 - Prob. 36PS Ch. 4.7 - Prob. 1Q Ch. 4.7 - Prob. 2Q Ch. 4.7 - Prob. 3Q Ch. 4.7 - Prob. 4Q Ch. 4.7 - Prob. 5Q Ch. 4.7 - Prob. 6Q Ch. 4.7 - Prob. 7Q Ch. 4.7 - Prob. 8Q Ch. 4.7 - Prob. 9Q Ch. 4.7 - Prob. 10Q Ch. 4.7 - Prob. 11Q Ch. 4.7 - Prob. 12Q Ch. 4.7 - Prob. 13Q Ch. 4.7 - Prob. 14Q Ch. 4.7 - Prob. 15Q Ch. 4.7 - Prob. 16Q Ch. 4.7 - Prob. 1MRPS Ch. 4.7 - Prob. 2MRPS Ch. 4.7 - Prob. 3MRPS Ch. 4.7 - Prob. 4MRPS Ch. 4.7 - Prob. 5MRPS Ch. 4.7 - Prob. 6MRPS Ch. 4 - Prob. 1VE Ch. 4 - Prob. 2VE Ch. 4 - Prob. 3VE Ch. 4 - Prob. 4VE Ch. 4 - Prob. 5VE Ch. 4 - Prob. 6REAE Ch. 4 - Prob. 7REAE Ch. 4 - Prob. 8REAE Ch. 4 - Prob. 9REAE Ch. 4 - Prob. 10REAE Ch. 4 - Prob. 11REAE Ch. 4 - Prob. 12REAE Ch. 4 - Prob. 13REAE Ch. 4 - Prob. 14REAE Ch. 4 - Prob. 15REAE Ch. 4 - Prob. 16REAE Ch. 4 - Prob. 17REAE Ch. 4 - Prob. 18REAE Ch. 4 - Prob. 19REAE Ch. 4 - Prob. 20REAE Ch. 4 - Prob. 21REAE Ch. 4 - Prob. 22REAE Ch. 4 - Prob. 23REAE Ch. 4 - Prob. 24REAE Ch. 4 - Prob. 25REAE Ch. 4 - Prob. 26REAE Ch. 4 - Prob. 27REAE Ch. 4 - Prob. 28REAE Ch. 4 - Prob. 29REAE Ch. 4 - Prob. 30REAE Ch. 4 - Prob. 31REAE Ch. 4 - Prob. 32REAE Ch. 4 - Prob. 33REAE Ch. 4 - Prob. 34REAE Ch. 4 - Prob. 35REAE Ch. 4 - Prob. 36REAE Ch. 4 - Prob. 37REAE Ch. 4 - Prob. 38REAE Ch. 4 - Prob. 1T Ch. 4 - Prob. 2T Ch. 4 - Prob. 3T Ch. 4 - Prob. 4T Ch. 4 - Prob. 5T Ch. 4 - Prob. 6T Ch. 4 - Prob. 7T Ch. 4 - Prob. 8T Ch. 4 - Prob. 9T Ch. 4 - Prob. 10T Ch. 4 - Prob. 11T Ch. 4 - Prob. 12T Ch. 4 - Prob. 13T Ch. 4 - Prob. 14T Ch. 4 - Prob. 15T Ch. 4 - Prob. 16T Ch. 4 - Prob. 17T Ch. 4 - Prob. 18T Ch. 4 - Prob. 19T Ch. 4 - Prob. 20T Ch. 4 - Prob. 21T Ch. 4 - Prob. 22T Ch. 4 - Prob. 23T Ch. 4 - Prob. 24T Ch. 4 - Prob. 25T Ch. 4 - Prob. 26T Ch. 4 - Prob. 27T Ch. 4 - Prob. 28T Ch. 4 - Prob. 29T Ch. 4 - Prob. 1P Ch. 4 - Prob. 2P Ch. 4 - Prob. 3P Ch. 4 - Prob. 1TP Ch. 4 - Prob. 2TP Ch. 4 - Prob. 3TP Ch. 4 - Prob. 4TP Ch. 4 - Prob. 5TP Ch. 4 - Prob. 6TP Ch. 4 - Prob. 7TP Ch. 4 - Prob. 8TP Ch. 4 - Prob. 9TP Ch. 4 - Prob. 10TP Ch. 4 - Prob. 11TP Ch. 4 - Prob. 12TP Ch. 4 - Prob. 13TP Ch. 4 - Prob. 14TP Ch. 4 - Prob. 15TP Ch. 4 - Prob. 16TP Ch. 4 - Prob. 17TP Ch. 4 - Prob. 18TP Ch. 4 - Prob. 19TP Ch. 4 - Prob. 20TP Ch. 4 - Prob. 21TP Ch. 4 - Prob. 22TP

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