Condensing logarithmic expressions

Condensing logarithmic expressions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to use the properties of logarithms to condense a logarithmic expression. It starts with an example involving logarithms with the same base and demonstrates how to apply the properties to rewrite the expression as a single logarithm. The tutorial concludes by summarizing the process of condensing logarithmic expressions.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process to rewrite the expression 'log base four of seven minus log base four of ten'?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the significance of having the same base when working with logarithms.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How can the expression 'log base four of seven divided by ten' be represented in logarithmic form?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of condensing 'log base four of seven' and 'log base four of ten'?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the properties of logarithms allow us to condense two logarithmic expressions into one.

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