SOLUTION: Solve for x: log base a(x+6)- log base a(X+2)=log base a X. Assume that a>1.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve for x: log base a(x+6)- log base a(X+2)=log base a X. Assume that a>1.      Log On


   

Question 918647: Solve for x: log base a(x+6)- log base a(X+2)=log base a X. Assume that a>1.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
log%28a%2C+%28x%2B6%29%2F%28x%28x%2B2%29%29%29+=+0
a^0 = 1
%28x%2B6%29%2F%28x%28x%2B2%29%29=+1
x+ 6 = x^2 + 2x
x^2 + x - 6 = 0
(x+3)(x-2) = 0 NOTE: x = -3 is an extraneous root log(-3) invalid
x = 2