3^x =10−log_2 x find x


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Question Number 172151 by Giantyusuf last updated on 23/Jun/22

$3^{x} = 10 - {l o g}_{2} x$ $f i n d x$
	Answered by aleks041103 last updated on 23/Jun/22

	$3^{x} i s m o n o t o u n o u s l y i n c r e a s i n g .$ $10 - {l o g}_{2} x i s m o n o t o u n o u s l y d e c r e a s i n g .$ $\Rightarrow 3^{x} = 10 - {l o g}_{2} x h a s a t m o s t 1 s o l n .$ $b y i n s p e c t i o n x = 2 i s a s o l u t i o n$ $\Rightarrow T h e o n l y s o l u t i o n i s x = 2 .$
	Answered by Mikenice last updated on 23/Jun/22

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