यदि (\left\(3^{x}\right\)^{2}=729), तो (x) का मान क्या है?

If (\left\(3^{x}\right\)^{2}=729), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

We have (\left\(3^{x}\right\)^{2}=3^{2x}) and \(729=3^{6}\), so (2x=6) and (x=3). In exams, rewrite both sides with the same base.

Step 2

Why this answer is correct

The correct answer is B. (3). We have (\left\(3^{x}\right\)^{2}=3^{2x}) and \(729=3^{6}\), so (2x=6) and (x=3). In exams, rewrite both sides with the same base.

Step 3

Exam Tip

(\left\(3^{x}\right\)^{2}=3^{2x}) और \(729=3^{6}\), इसलिए (2x=6) और (x=3)। परीक्षा में दोनों पक्षों को समान आधार में लिखें।

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Mathematics Answer, Explanation and Revision Hints

यदि (\left\(3^{x}\right\)^{2}=729), तो (x) का मान क्या है? / If (\left\(3^{x}\right\)^{2}=729), what is the value of (x)?

Correct Answer: B. (3). Explanation: (\left\(3^{x}\right\)^{2}=3^{2x}) और \(729=3^{6}\), इसलिए (2x=6) और (x=3)। परीक्षा में दोनों पक्षों को समान आधार में लिखें। / We have (\left\(3^{x}\right\)^{2}=3^{2x}) and \(729=3^{6}\), so (2x=6) and (x=3). In exams, rewrite both sides with the same base.

Which concept should I revise for this Mathematics MCQ?

We have (\left\(3^{x}\right\)^{2}=3^{2x}) and \(729=3^{6}\), so (2x=6) and (x=3). In exams, rewrite both sides with the same base.

What exam hint can help solve this Mathematics question?

(\left\(3^{x}\right\)^{2}=3^{2x}) और \(729=3^{6}\), इसलिए (2x=6) और (x=3)। परीक्षा में दोनों पक्षों को समान आधार में लिखें।