Question 193620
Apply log rules:
    log base 4 (x-4) + log base 4 (x-2) = log base 4 35
    log base 4 (x-4)(x-2) = log base 4 35
    (x-4)(x-2) = 35
    x^2-2x-4x+8 = 35
    x^2-6x+8 = 35
    x^2-6x-27 = 0
    (x-9)(x+3) = 0
.
x = {-3, 9)
We can toss out the negative solution because we can't take the ln of a negative number.  So we are left with:
x = 9