Answer:
x=2
x=4
Step-by-step explanation:
the range is x>0
Move the expression to the left side and change it's sign to get
log6(x^2+8)-log6(x)=1
using loga(x)-loga(y) = loga (x/y) to simplify log6(x^2+8/x)=1
convert it to exponential form to get x^2+8/x=6
multiply both sides of the equation by x to get x^2+8=6x
move variable to the left
x^2-6x+8
factor out x from the expression
x (x-2) -4 (x-2) =0
factor out x-2
(x-2) x (x-4) = 0
set both equal to 0 and get x=2 x=4
