Expanding logarithmic expressions across division

Expanding logarithmic expressions across division

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a logarithmic problem using the quotient and power rules. It begins by introducing the problem of log base 5 of 9 divided by X^3. The teacher demonstrates how to apply the quotient rule to separate the logarithms and then uses the power rule to simplify the expression further. The final answer is presented, and the teacher concludes by explaining why further simplification is not possible.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer when applying the power rule to log base 5 of 9 minus log base 5 of X^3?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Why can't you simplify 5 raised to the power of 3 in the context of this logarithmic problem?

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