Pre-Calculus - Solving a logarithmic equation by using factoring log3(x) + log3(x-8) = 2
Interactive Video
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
The video tutorial explains how to solve a logarithmic equation by applying properties of logarithms, converting to exponential form, and factoring. It highlights the importance of understanding zeros in polynomial functions and identifies extraneous roots. The tutorial emphasizes the need to check solutions by plugging them back into the original equation to determine if they are valid or extraneous.
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3 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
Why is it impossible to take the logarithm of a negative number?
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
What is an extraneous root, and how can it be identified?
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
Discuss the importance of checking solutions in logarithmic equations.
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