SOLUTION: What is "log base 5 times the quantity (x-1) minus log base 5 times quantity (x-2) equals 2" ? I don't get it. PLEASE HELP.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: What is "log base 5 times the quantity (x-1) minus log base 5 times quantity (x-2) equals 2" ? I don't get it. PLEASE HELP.      Log On


   

Question 236777:
What is "log base 5 times the quantity (x-1) minus log base 5 times quantity (x-2) equals 2" ? I don't get it. PLEASE HELP.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!

What is "log base 5 times the quantity (x-1) minus log base 5 times quantity (x-2) equals 2" ?
.
log%285%2C%28x-1%29%29+-+log%285%2C%28x-2%29%29+=+2%29
Applying "log rules"...
log%285%2C%28x-1%29%2F%28x-2%29%29+=+2%29
%28x-1%29%2F%28x-2%29+=+5%5E2%29
%28x-1%29%2F%28x-2%29+=+25%29
%28x-1%29+=+25%28x-2%29%29
x-1+=+25x-50%29
-1+=+24x-50%29
49+=+24x%29
49%2F24+=+x%29