Answer:
x=2 x=3
Step-by-step explanation:
log4 (x^2 + 6) = log4 5x
Since the bases are the same, we can set
x^2 +6 = 5x
Subtract 5x from each side
x^2 -5x +6 = 5x-5x
x^2 -5x +6 =0
Factor
(x-3) (x-2) =0
Using the zero product property
x-3=0 x-2=0
x=3 x=2