Log4(x-1)+Log4(x+11)=3

Question

Log4(x-1)+Log4(x+11)=3

Answer 1

ОДЗ:x>1
㏒4((x-1)(x+11))=㏒4 64
x^2+11x-x-11=64
x^2-10x-75=0
x1=-5(посторонний корень)
x2=15