Solve for x, where x is a real number. 5₁√√3 = √x O 225 O 75 O 15 45
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Problem Statement**
Solve for \( x \), where \( x \) is a real number.
\[ 5^{\sqrt{3}} = \sqrt{x} \]
**Choices**
- \( \circ \) 225
- \( \circ \) 75
- \( \circ \) 15
- \( \circ \) 45
**Explanation:**
The question requires solving an equation involving exponents and square roots. The left side is an exponential expression with a base of 5 and an exponent of \(\sqrt{3}\), while the right side is the square root of \(x\). You need to find which value of \(x\) satisfies the equation when substituted into \(\sqrt{x}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb30d7fc0-4739-4205-b977-e5697f99a5bd%2Fe0732797-e57a-46f5-99e5-5d3068d0394f%2F2bwbcm_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement**
Solve for \( x \), where \( x \) is a real number.
\[ 5^{\sqrt{3}} = \sqrt{x} \]
**Choices**
- \( \circ \) 225
- \( \circ \) 75
- \( \circ \) 15
- \( \circ \) 45
**Explanation:**
The question requires solving an equation involving exponents and square roots. The left side is an exponential expression with a base of 5 and an exponent of \(\sqrt{3}\), while the right side is the square root of \(x\). You need to find which value of \(x\) satisfies the equation when substituted into \(\sqrt{x}\).
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