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
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**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 \(\sqrt{x}\).
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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