Tutorial - Evaluating Logarithms without a Calculator

Tutorial - Evaluating Logarithms without a Calculator

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate logarithms with a base larger than the number being evaluated. It begins with an introduction to logarithms and explores positive and negative powers of 36. The tutorial then discusses rational numbers and roots, applying one-to-one properties of exponents to solve the problem. The conclusion confirms the solution by demonstrating that 36 raised to the 1/2 power equals 6, illustrating the concept of rational exponents representing roots.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you rewrite the expression 36 raised to the power of 1/2?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the steps taken to evaluate a logarithm with a larger base than the number being evaluated.

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