Question

Log4 (x2 + 6) = log4 5x

Answer 1

x=2 x=3

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