BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
15th Edition
ISBN: 9781608408405
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Cengage Learning
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Question
Chapter 6.3, Problem 26E
To determine
The reason that why the logarithmic expressions log2(−1) and log11 cannot defined.
Expert Solution & Answer
Answer to Problem 26E
The expression log2(−1) and log11 are not defined.
Explanation of Solution
Given information:
The given logerithmic expressions are: log2(−1) and log11 .
Formula Used:
Exponential form:
If the logarithm form is c=logab then its exponential form is c=ab .
Logarithmic division:
logab=logbloga
Calculation:
The given logarithm form is log2(−1) .
Let log2(−1)=x
Now, solve the expression for x .
log2(−1)=x2x=−1
Since 2x is a positive so it cannot be equal to −1 .
Similarly for the logarithm form log11 .
Solve the expression, use the formula logab=logbloga .
log11=log1log1
It is known that log1=0 . Substitute this value in the above expression.
log11=log1log1=00
Thus, log11 is undefined.
Hence, the expression log2(−1) and log11 are not defined.
Chapter 6 Solutions
BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
Ch. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
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