Question

What question can be asked to help evaluate $\log _{3} 81 ?$

   What question can be asked to help evaluate $\log _{3} 81 ?$

Precalculus

Robert Blitzer 5th Edition

Chapter 3, Problem 121

Instant Answer

Solved by Expert Joseph Franks

05/07/2020

Step 1

The expression $\log _{3} 81$ is in logarithmic form. Show more…

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What question can be asked to help evaluate $\log _{3} 81 ?$

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Key Concepts

Logarithm Concept

The logarithm represents the inverse of exponentiation, answering the question 'what exponent must the base be raised to in order to obtain a given number?' This concept is essential for evaluating expressions like log base 3 of 81, as it directly asks for the exponent that the base must be raised to match the numerical value.

Exponential Relationship

Understanding the relationship between exponentials and logarithms is crucial. Evaluating a logarithmic expression often involves rewriting the number as a power of the base. In this context, determining whether 81 can be expressed as a power of 3 is the key step for solving log base 3 of 81.

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