MCQ
સમીકરણ ${x^{{{\log }_x}{{(1 - x)}^2}}} = 9\,\,$ નો ઉકેલગણ.......છે.
- ✓$\{- 2, 4\}$
- B$\{4\}$
- C$\{0, - 2, 4\}$
- Dએકપણ નહી.
$ \Rightarrow \,\,{\log _x}(9) = {\log _x}{(1 - x)^2}$
$({a^x} = N\,\,\, \Rightarrow {\log _a}N = x)$
$ \Rightarrow \,9 = {(1 - x)^2}$
$ \Rightarrow 1 + {x^2} - 2x - 9 = 0$
$ \Rightarrow {x^2} - 2x - 8 = 0$ $ \Rightarrow \,\,(x + 2)(x - 4) = 0$
$ \Rightarrow \,x = - 2\,,4$
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