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If (4^x=64), then (x=)?यदि (4^x=64) तो (x=)?
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Correct answer:सही उत्तर: 33
Since \(64=4^3\), the equation becomes \(4^x=4^3\). With equal positive bases other than 1, their exponents are equal, so \(x=3\). In such questions, rewrite both sides with the same base before comparing exponents.क्योंकि \(64=4^3\), इसलिए \(4^x=4^3\) से समान आधारों की घातें बराबर होंगी: \(x=3\)। परीक्षा में पहले दोनों संख्याओं को समान आधार की घात के रूप में लिखना सबसे सरल तरीका है।
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