Log4 (x2 + 6) = log4 5x

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