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If (2^{x+1}=32), find (x).यदि (2^{x+1}=32) तो (x=)?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 44
Since \(32=2^5\), the equation becomes \(2^{x+1}=2^5\). With equal bases, compare the exponents: \(x+1=5\), giving \(x=4\). Therefore, option B is correct. Remember not to take \(x=5\) directly because the exponent is \(x+1\).क्योंकि \(32=2^5\), इसलिए \(2^{x+1}=2^5\) में समान आधार होने पर घातों की तुलना करने से \(x+1=5\) मिलता है। अतः \(x=4\), इसलिए विकल्प B सही है। ध्यान रखें कि सीधे \(x=5\) लेना गलत होगा, क्योंकि घात \(x+1\) है।
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