Logarithmic Equation With Extraneous Solution

Logarithmic Equation With Extraneous Solution

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial explains how to identify and understand extraneous solutions in logarithmic equations. It covers the properties of logarithms, including the product property and the importance of positive arguments. The tutorial demonstrates how to simplify logarithmic equations and solve the resulting quadratic equations. It emphasizes the need to check solutions against the original equation to identify extraneous solutions. The video concludes with a summary and a preview of the next topic.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean to exponentiate both sides of an equation?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of rewriting a logarithmic equation in exponential form.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is it important to check solutions against the original equation?

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