Evaluating a Logarithm With a Fraction Base

Evaluating a Logarithm With a Fraction Base

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explores the concept of exponents, focusing on finding the power that results in 27 when using a base of 1/3. It explains the conversion between logarithmic and exponential forms, discusses the effects of squaring and cubing fractions, and demonstrates how negative exponents can be used to solve the problem. The tutorial concludes with a verification of the solution.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for an exponent to be negative in this context?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does raising 1/3 to the power of -3 equal 27?

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