यदि \(6^{x}=216\) और \(36^{y}=216\), तो (x+y) का मान क्या है?
If \(6^{x}=216\) and \(36^{y}=216\), what is the value of (x+y)?
Explanation opens after your attempt
Correct Answer
A. \(\frac{9}{2}\)
Step 1
Concept
Since \(216=6^{3}\), (x=3). Also (36^{y}=\(6^{2}\)^{y}=6^{2y}=6^{3}), so \(y=\frac{3}{2}\) and the sum is \(\frac{9}{2}\).
Step 2
Why this answer is correct
The correct answer is A. \(\frac{9}{2}\). Since \(216=6^{3}\), (x=3). Also (36^{y}=\(6^{2}\)^{y}=6^{2y}=6^{3}), so \(y=\frac{3}{2}\) and the sum is \(\frac{9}{2}\).
Step 3
Exam Tip
\(216=6^{3}\), इसलिए (x=3)। (36^{y}=\(6^{2}\)^{y}=6^{2y}=6^{3}), इसलिए \(y=\frac{3}{2}\) और योग \(\frac{9}{2}\) है।
Mathematics Answer, Explanation and Revision Hints
यदि \(6^{x}=216\) और \(36^{y}=216\), तो (x+y) का मान क्या है? / If \(6^{x}=216\) and \(36^{y}=216\), what is the value of (x+y)?
Correct Answer: A. \(\frac{9}{2}\). Explanation: \(216=6^{3}\), इसलिए (x=3)। (36^{y}=\(6^{2}\)^{y}=6^{2y}=6^{3}), इसलिए \(y=\frac{3}{2}\) और योग \(\frac{9}{2}\) है। / Since \(216=6^{3}\), (x=3). Also (36^{y}=\(6^{2}\)^{y}=6^{2y}=6^{3}), so \(y=\frac{3}{2}\) and the sum is \(\frac{9}{2}\).
Which concept should I revise for this Mathematics MCQ?
Since \(216=6^{3}\), (x=3). Also (36^{y}=\(6^{2}\)^{y}=6^{2y}=6^{3}), so \(y=\frac{3}{2}\) and the sum is \(\frac{9}{2}\).
What exam hint can help solve this Mathematics question?
\(216=6^{3}\), इसलिए (x=3)। (36^{y}=\(6^{2}\)^{y}=6^{2y}=6^{3}), इसलिए \(y=\frac{3}{2}\) और योग \(\frac{9}{2}\) है।
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