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If (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln x), choose the correct answer for (f).यदि (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln x), तो (f) के लिए सही उत्तर चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is one-oneएकैकी है
Step 1: (\ln x) is increasing on its domain ((0,\infty)). Step 2: If (\ln a=\ln b), then (a=b). Step 3: Remember the increasing nature of the logarithmic function.चरण 1: (\ln x) अपने क्षेत्र ((0,\infty)) पर बढ़ता है। चरण 2: यदि (\ln a=\ln b), तो (a=b) होगा। चरण 3: लघुगणक फलन की बढ़ती प्रकृति याद रखें।
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