Solving a logarithmic equation with two extraneous solutions

Solving a logarithmic equation with two extraneous solutions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve logarithmic equations by using properties of logarithms, such as condensing and canceling logs. It demonstrates solving an equation by factoring and using the quadratic formula. The tutorial emphasizes the importance of checking solutions to identify any extraneous ones, ensuring they are valid within the domain of the function.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step to solve a logarithmic equation according to Miss Mclogan?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to condense logarithmic expressions.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens when you have a logarithm equal to another logarithm with the same base?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of solving the equation X + 5 = X - 1 / (X + 1).

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the three methods mentioned for solving quadratic equations?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you verify if the solutions to the logarithmic equation are valid?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of checking for extraneous solutions in logarithmic equations?

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