यदि \(\frac{2^{x}\cdot2^{x+2}}{2^{3}}=32\), तो (x) का मान क्या है?
If \(\frac{2^{x}\cdot2^{x+2}}{2^{3}}=32\), what is the value of (x)?
Explanation opens after your attempt
Correct Answer
B. (3)
Concept
The total exponent on the left is (x+x+2-3=2x-1), and \(32=2^{5}\), so (2x-1=5), giving (x=3). In exams, convert the whole expression into one power.
Why this answer is correct
The correct answer is B. (3). The total exponent on the left is (x+x+2-3=2x-1), and \(32=2^{5}\), so (2x-1=5), giving (x=3). In exams, convert the whole expression into one power.
Exam Tip
बाएँ पक्ष की कुल घात (x+x+2-3=2x-1) है, और \(32=2^{5}\), इसलिए (2x-1=5) से (x=3)। परीक्षा में पूरी अभिव्यक्ति को एक ही घात में बदलें।
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