What is the solution to this equation? log3(41) – 2log,# = 2 A. 36 1 O B. В. 36 С. 9 9 D. 4 Reset

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 \( x \).
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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