SOLUTION: Showing work, solve the equation. log a (x-8)-log a (x+4)=log a (x-3)- log a (x-2) note: the a in this problem is smaller and sits lower. thank you.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Showing work, solve the equation. log a (x-8)-log a (x+4)=log a (x-3)- log a (x-2) note: the a in this problem is smaller and sits lower. thank you.      Log On


   

Question 712304: Showing work, solve the equation.
log a (x-8)-log a (x+4)=log a (x-3)- log a (x-2)
note: the a in this problem is smaller and sits lower.
thank you.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


=log+%28a%2C%28%28x-8%29%2F%28x%2B4%29%29%29=log%28+a%2C%28%28x-3%29%2F%28x-2%29%29%29

=%28x-8%29%2F%28x%2B4%29=%28x-3%29%2F%28x-2%29

=%28x-8%29%28x-2%29=%28x-3%29%28x%2B4%29

=x%5E2-2x-8x%2B16=x%5E2%2B4x-3x-12

=-10x%2B16=x-12

=12%2B16=10x%2Bx

=28=11x

=28%2F11=x