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,...
Related questions
Question
![The image contains a mathematical problem with instructions and multiple-choice options.
**Instructions:**
Solve for \( x \).
**Equation:**
\[ 2^{4x} = 6 \]
**Options:**
- **A** \( x = \frac{\log_2 6}{4} \) (Selected)
- **B** \( x = \log_2 24 \)
- **C** \( x = \log_2 \frac{3}{2} \)
- **D** \( x = \frac{\log_2 3}{2} \)
**Analysis:**
The problem requires solving the equation \( 2^{4x} = 6 \) for \( x \). The correct choice involves recognizing that taking the logarithm base 2 on both sides transforms the equation into a form that allows solving for \( x \). The solution involves using properties of logarithms to isolate \( x \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86f7f240-52bf-4bdf-b932-d5abd63fff02%2Fb08bc17d-9bf4-464d-9c6f-5ca5dec0185f%2Fsvn6tmf_processed.png&w=3840&q=75)
Transcribed Image Text:The image contains a mathematical problem with instructions and multiple-choice options.
**Instructions:**
Solve for \( x \).
**Equation:**
\[ 2^{4x} = 6 \]
**Options:**
- **A** \( x = \frac{\log_2 6}{4} \) (Selected)
- **B** \( x = \log_2 24 \)
- **C** \( x = \log_2 \frac{3}{2} \)
- **D** \( x = \frac{\log_2 3}{2} \)
**Analysis:**
The problem requires solving the equation \( 2^{4x} = 6 \) for \( x \). The correct choice involves recognizing that taking the logarithm base 2 on both sides transforms the equation into a form that allows solving for \( x \). The solution involves using properties of logarithms to isolate \( x \).
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