To find: Given equation has an extraneous solution or not.
Given:
An equation
Concept used:
If
Calculation:
Take exponentiation on each side with base 4.
Now factorize of the above equation;
Thus,
Now check the extraneous solution then put the value of
Case(1): substitute the value of
Therefore,
Now
Case(2): Substitute the value of
Thus,
Therefore,
Conclusion:
Hence, by the property of logarithm then an extraneous solution does not satisfy at
Chapter 4 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education