How to evaluate a logarithm when it is raised to a power without a calculator

How to evaluate a logarithm when it is raised to a power without a calculator

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Hard

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The video tutorial explains how to solve logarithmic problems using basic rules and properties. It begins with an introduction to logarithms, followed by a detailed explanation of the rules, such as log base five of five equals one, and log base five of five raised to the X equals X. The tutorial demonstrates how to evaluate logarithms by rewriting them in exponential form and using the one-to-one property of exponential equations. The video concludes with a summary of the evaluation process, emphasizing the importance of understanding these rules for solving logarithmic problems efficiently.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of log base five of five?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why log base five of five raised to the X equals X.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What property of exponential equations is used to solve logarithmic equations?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Why does the rule for logarithms work when the bases are the same?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you rewrite the logarithm log base five of five raised to the 7th power?

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