Expanding a logarithmic expression raised to the third power

Expanding a logarithmic expression raised to the third power

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to expand a logarithmic expression by using properties of logarithms. It begins with identifying the exponent and moving it in front of the logarithm. The tutorial then demonstrates applying logarithmic properties, such as handling division and square roots, to simplify the expression. The process is completed by working from left to right, ensuring the correct order of operations. The tutorial concludes with a summary of the steps involved in expanding logarithmic expressions.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in expanding the logarithmic expression mentioned in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the exponent affect the logarithmic expression when expanding it?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What properties of logarithms are applied inside the brackets during the expansion?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the square root in the expression can be rewritten and its significance in the expansion.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the importance of working from left to right when expanding logarithmic expressions?

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