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ln x+2/(x-1)²=ln4
ln (x+2/x²-2x+1)-ln4=0
ln x+2/4x²-8x+4=e°
x+2=4x²-8x+4
(4x-1)(x-2)=0
CS=( 1/4 , 2)
entonces al verificar y remplzar el valor de x en la ecuacion solo cumple x=2
la respuesta es x=2
espero te sirva ;)