Solving logarithmic equations

Solving logarithmic equations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve logarithmic equations using properties of logarithms and the quadratic formula. It begins by demonstrating how to rewrite the sum of logarithms as a product and convert it into exponential form. The tutorial then sets up the equation in quadratic form and applies the quadratic formula to find potential solutions. Finally, it identifies extraneous solutions and confirms the valid solution.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What property is applied to rewrite the sum of two logarithms?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to convert a natural logarithm equation into exponential form.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the quadratic formula and when can it be used?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine if a solution is extraneous in logarithmic equations?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the approximate solutions for the equation discussed in the text?

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