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Ive 24 = 6 3 BO x = log₂24 Cox = log₂ Dor=! I= log₂6 log₂3 2

Ive 24 = 6 3 BO x = log₂24 Cox = log₂ Dor=! I= log₂6 log₂3 2

Algebra and Trigonometry (6th Edition)
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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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 \( x \).
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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