Question 193620: log base 4 (x-4) + log base 4 (x-2) = log base 4 35
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! 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
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