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In (3^{x} = 81) what is x(3^{x} = 81) में (x) क्या होगा
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 44
Since 81 can be expressed as \(3^4\), the equation becomes \(3^x = 3^4\). For equal positive bases other than 1, their exponents must be equal; therefore, \(x=4\). Options 3 and 5 would give \(27\) and \(243\), respectively, so they are incorrect. Exam tip: rewrite the given number as a power of the same base before comparing exponents.क्योंकि 81 को 3 की घात के रूप में लिखने पर \(81 = 3^4\) मिलता है। अतः \(3^x = 3^4\) होने पर समान आधारों की घातें बराबर होती हैं, इसलिए \(x=4\)। विकल्प 3 और 5 क्रमशः \(27\) और \(243\) देते हैं, इसलिए वे सही नहीं हैं। परीक्षा-युक्ति: पहले दाईं ओर की संख्या को बाईं ओर के आधार की घात के रूप में बदलें।
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