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If (8^{x}=2^{12}), find (x).यदि (8^{x}=2^{12}) तो (x=)?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 44
Since 8=2^3, we get 8^x=(2^3)^x=2^{3x}. Thus 2^{3x}=2^{12}, so the exponents are equal: 3x=12, giving x=4. Exam tip: rewrite powers with a common base before comparing their exponents.क्योंकि 8=2^3, इसलिए 8^x=(2^3)^x=2^{3x}। अतः 2^{3x}=2^{12} होने पर घात बराबर होंगे: 3x=12, इसलिए x=4। परीक्षा में अलग-अलग आधारों को समान आधार में बदलकर घातों की तुलना करें।
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