यदि \(2^{x+1}+2^{x}=48\), तो (x) का मान क्या है?
If \(2^{x+1}+2^{x}=48\), what is the value of (x)?
Explanation opens after your attempt
Correct Answer
B. (4)
Concept
Here \(2^{x+1}+2^{x}=2\cdot2^{x}+2^{x}=3\cdot2^{x}=48\), so \(2^{x}=16=2^{4}\). In exams, factor the common power \(2^{x}\).
Why this answer is correct
The correct answer is B. (4). Here \(2^{x+1}+2^{x}=2\cdot2^{x}+2^{x}=3\cdot2^{x}=48\), so \(2^{x}=16=2^{4}\). In exams, factor the common power \(2^{x}\).
Exam Tip
\(2^{x+1}+2^{x}=2\cdot2^{x}+2^{x}=3\cdot2^{x}=48\), इसलिए \(2^{x}=16=2^{4}\)। परीक्षा में सामान्य घात \(2^{x}\) बाहर लें।
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