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3-x-10-log-2-x-find-x-




Question Number 172151 by Giantyusuf last updated on 23/Jun/22
3^x =10−log_2 x  find x
3x=10log2xfindx
Answered by aleks041103 last updated on 23/Jun/22
3^x  is monotounously increasing.  10−log_2 x is monotounously decreasing.  ⇒3^x =10−log_2 x has at most 1 soln.  by inspection x=2 is a solution  ⇒The only solution is x=2.
3xismonotounouslyincreasing.10log2xismonotounouslydecreasing.3x=10log2xhasatmost1soln.byinspectionx=2isasolutionTheonlysolutionisx=2.
Answered by Mikenice last updated on 23/Jun/22

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