यदि \(5^{x}=125\) और \(2^{y}=32\), तो (x+y) का मान क्या है?

If \(5^{x}=125\) and \(2^{y}=32\), what is the value of (x+y)?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

Since \(125=5^{3}\), (x=3), and since \(32=2^{5}\), (y=5), so (x+y=8). In exams, write numbers as powers of their prime bases.

Step 2

Why this answer is correct

The correct answer is C. (8). Since \(125=5^{3}\), (x=3), and since \(32=2^{5}\), (y=5), so (x+y=8). In exams, write numbers as powers of their prime bases.

Step 3

Exam Tip

\(125=5^{3}\) से (x=3) और \(32=2^{5}\) से (y=5), इसलिए (x+y=8)। परीक्षा में संख्याओं को उनके मूल आधार की घात में लिखें।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(5^{x}=125\) और \(2^{y}=32\), तो (x+y) का मान क्या है? / If \(5^{x}=125\) and \(2^{y}=32\), what is the value of (x+y)?

Correct Answer: C. (8). Explanation: \(125=5^{3}\) से (x=3) और \(32=2^{5}\) से (y=5), इसलिए (x+y=8)। परीक्षा में संख्याओं को उनके मूल आधार की घात में लिखें। / Since \(125=5^{3}\), (x=3), and since \(32=2^{5}\), (y=5), so (x+y=8). In exams, write numbers as powers of their prime bases.

Which concept should I revise for this Mathematics MCQ?

Since \(125=5^{3}\), (x=3), and since \(32=2^{5}\), (y=5), so (x+y=8). In exams, write numbers as powers of their prime bases.

What exam hint can help solve this Mathematics question?

\(125=5^{3}\) से (x=3) और \(32=2^{5}\) से (y=5), इसलिए (x+y=8)। परीक्षा में संख्याओं को उनके मूल आधार की घात में लिखें।