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solve-12-x-2-4-x-find-x-

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Question Number 171743 by Mikenice last updated on 20/Jun/22
solve: 12^(x−2) =4^x , find x
solve:12x−2=4x,findx
Commented by kaivan.ahmadi last updated on 20/Jun/22
3^(x−2) ×4^(x−2) =4^x ⇒3^(x−2) =(4^x /4^(x−2) )⇒ 3^(x−2) =4^2 =16⇒log3^(x−2) =log16⇒ (x−2)log3=log16⇒x=((log16)/(log3))+2= 2+log_3 16=2+4log_3 2
3x−2×4x−2=4x⇒3x−2=4x4x−2⇒3x−2=42=16⇒log3x−2=log16⇒(x−2)log3=log16⇒x=log16log3+2=2+log316=2+4log32
Commented by Mikenice last updated on 20/Jun/22
thanks sir
thankssir

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