Rewriting a logarithmic expression using multiple terms

Rewriting a logarithmic expression using multiple terms

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains how to expand logarithmic expressions using properties of logarithms. It covers the multiplication property, which allows the separation of a product inside a logarithm into the addition of two logs with the same base. The tutorial also discusses the power property, which enables bringing down an exponent as a multiplier in front of the logarithm. The final expression is simplified using these properties.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is it incorrect to separate the expression (Y - 4) when applying logarithmic properties?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final expression for log base three of (X * (Y - 4)^2) after applying the properties of logarithms?

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