Tutorial-How to solve a logarithmic equation with an extraneous solution ex20, 4 log3(2) -2log3(x)=1

Tutorial-How to solve a logarithmic equation with an extraneous solution ex20, 4 log3(2) -2log3(x)=1

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial demonstrates how to solve a logarithmic equation by condensing multiple logarithms into a single one, rewriting them as exponents, and solving for the variable. The process involves identifying extraneous solutions and understanding the properties of logarithms and exponents. The tutorial emphasizes the importance of condensing logarithms to simplify the equation and solve for the variable effectively.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step to condense the logarithmic equation given in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to rewrite the logarithmic equation when you have a logarithm subtracted by another logarithm with the same base.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the equation log base 3 of (16 / X^2) = 1 imply when rewritten in exponential form?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine which solutions are extraneous when solving logarithmic equations?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final solution for X in the given logarithmic equation, and how do you arrive at it?

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