SOLUTION: how do I evaluate this: log2 120 − log2 12 − log2 40

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: how do I evaluate this: log2 120 − log2 12 − log2 40      Log On


   



Question 529226: how do I evaluate this: log2 120 − log2 12 − log2 40
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%282%2C120%29+-+log%282%2C12%29+-+log%282%2C40%29+
+log%282%2C+120%2F%2812%2A40%29%29+
+log%282%2C+120%2F480%29+
+log%282%2C+1%2F4%29+
If I set this expression equal to x,
then +2%5Ex+=+1%2F4+
+2%5E%28-2%29+=+1%2F4+
The answer is:
+log%282%2C120%29+-+log%282%2C12%29+-+log%282%2C40%29+=+-2+