How To Evaluate a Logarithm When the Answer is a Negative Exponent

How To Evaluate a Logarithm When the Answer is a Negative Exponent

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate a logarithmic expression by converting it into exponential form. It discusses the properties of logarithms, particularly focusing on negative exponents and their implications. The tutorial guides through the process of solving the expression log base 27 of 1/3, ultimately determining that the solution involves a negative exponent. The explanation is detailed, ensuring a clear understanding of the steps involved in solving such logarithmic problems.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you rewrite the expression log base 27 of 1/3 in terms of exponents?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the text suggest about the absolute value of the exponent when transitioning from 27 to 3?

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