How to find the solutions when solving a logarithmic equation

How to find the solutions when solving a logarithmic equation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the process of condensing logarithms into a single expression, converting logarithmic equations to exponential form, and solving the resulting quadratic equations. It explains the use of the quadratic formula to find solutions and highlights the importance of checking for extraneous solutions, especially when dealing with logarithms.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process of condensing logarithms, and why is it important?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how raising a number to a rational power can be rewritten as a root.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean when we say that subtracting two logarithms is the same as division?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you convert a logarithmic equation to exponential form?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the steps to solve a quadratic equation using the quadratic formula.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is it important to double-check your answers when solving quadratic equations?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is an extraneous solution, and how can you identify it in logarithmic equations?

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