## Precalculus (10th Edition)

Published by Pearson

# Chapter 5 - Exponential and Logarithmic Functions - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding - Page 294: 20

#### Answer

$3^{-2}=\frac{1}{9}$

#### Work Step by Step

We know that if $\log_a{y}=x$ then $a^x=y$. Hence if $\log_3 \left(\frac{1}{9}\right)=-2$, then $3^{-2}=\frac{1}{9}$.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
The text passage contains a mathematical question in the form of a logarithmic equation and provides the answer to that question.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
## Precalculus (10th Edition)

Published by Pearson

# Chapter 5 - Exponential and Logarithmic Functions - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding - Page 294: 20

#### Answer

$3^{-2}=\frac{1}{9}$

#### Work Step by Step

We know that if $\log_a{y}=x$ then $a^x=y$. Hence if $\log_3 \left(\frac{1}{9}\right)=-2$, then $3^{-2}=\frac{1}{9}$.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
user
The text passage contains a mathematical question in the form of a logarithmic equation and provides the answer to that question.

TYPE: SINGLE_QUESTION_WITH_ANSWER