यदि \(4^{x}=2^{10}\), तो (x) का मान क्या होगा?

If \(4^{x}=2^{10}\), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

Since (4^{x}=\(2^{2}\)^{x}=2^{2x}), (2x=10) and (x=5). In exams, convert mixed bases into a common base.

Step 2

Why this answer is correct

The correct answer is B. (5). Since (4^{x}=\(2^{2}\)^{x}=2^{2x}), (2x=10) and (x=5). In exams, convert mixed bases into a common base.

Step 3

Exam Tip

(4^{x}=\(2^{2}\)^{x}=2^{2x}), इसलिए (2x=10) और (x=5)। परीक्षा में मिश्रित आधार को समान आधार में बदलें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(4^{x}=2^{10}\), तो (x) का मान क्या होगा? / If \(4^{x}=2^{10}\), what is the value of (x)?

Correct Answer: B. (5). Explanation: (4^{x}=\(2^{2}\)^{x}=2^{2x}), इसलिए (2x=10) और (x=5)। परीक्षा में मिश्रित आधार को समान आधार में बदलें। / Since (4^{x}=\(2^{2}\)^{x}=2^{2x}), (2x=10) and (x=5). In exams, convert mixed bases into a common base.

Which concept should I revise for this Mathematics MCQ?

Since (4^{x}=\(2^{2}\)^{x}=2^{2x}), (2x=10) and (x=5). In exams, convert mixed bases into a common base.

What exam hint can help solve this Mathematics question?

(4^{x}=\(2^{2}\)^{x}=2^{2x}), इसलिए (2x=10) और (x=5)। परीक्षा में मिश्रित आधार को समान आधार में बदलें।