Answer:x=8 or x=-2
Step-by-step explanation:
log4(x-6) + log4(x)=2
log4(x(x-6))=2
4^2=x(x-6)
4x4=x(x-6)
16=x^2-6x
Arrange the quadratic equation
x^2-6x-16=0
x^2+2x-8x-16=0
x(x+2)-8(x+2)=0
(x-8)(x+2)=0
x-8=0. x+2=0
x=8. x=-2
