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If \( \Large 5^{\sqrt{x}}+12^{\sqrt{x}}=13^{\sqrt{x}} \), then x is equal to

A) \( \Large \frac{25}{4} \)
B) 4
C) 9
D) 16

Correct Answer:


B) 4

Description for Correct answer:
\( \Large 5^{\sqrt{x}}+12^{\sqrt{x}} = 13^{\sqrt{x}} \)

By option put x = 4

=> \( \Large 5^{4}+12^{4}=13^{4} \)

=> \( \Large 5^{2}+12^{2}=13^{2} \)

=> 169 = 169

hence, x = 4

Part of solved Elementary Mathematics questions and answers : >> Elementary Mathematics

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