Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Quiz: Logarithmic Equation Problem
**Question:**
What is the solution to this equation?
\[ \log_3(4x) - 2 \log_3 x = 2 \]
**Options:**
- **A.** \(36\)
- **B.** \(\frac{1}{36}\)
- **C.** \(\frac{4}{9}\)
- **D.** \(\frac{9}{4}\)
*[Note: Option D. \(\frac{9}{4}\) is highlighted in yellow as the selected answer.]*
**Instruction:**
Please select the correct solution and then press the 'Reset' button to clear your response if needed.
**Interactive Element:**
- **Reset Button:** A button to reset the selection of the answer.
**Explanation:**
This problem requires understanding logarithmic properties to solve the equation. Start by using the logarithmic identity \( a \log_b c = \log_b (c^a) \) to simplify and solve for \( x \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc6f3c32-694d-43a3-9d98-4837519070f4%2Fc9fefb03-c483-4572-9bc0-fb194495c8c9%2Fb0bz2ig_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Quiz: Logarithmic Equation Problem
**Question:**
What is the solution to this equation?
\[ \log_3(4x) - 2 \log_3 x = 2 \]
**Options:**
- **A.** \(36\)
- **B.** \(\frac{1}{36}\)
- **C.** \(\frac{4}{9}\)
- **D.** \(\frac{9}{4}\)
*[Note: Option D. \(\frac{9}{4}\) is highlighted in yellow as the selected answer.]*
**Instruction:**
Please select the correct solution and then press the 'Reset' button to clear your response if needed.
**Interactive Element:**
- **Reset Button:** A button to reset the selection of the answer.
**Explanation:**
This problem requires understanding logarithmic properties to solve the equation. Start by using the logarithmic identity \( a \log_b c = \log_b (c^a) \) to simplify and solve for \( x \).
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