SOLUTION: Hello! Please help me expand this logarithm: {{{logbase2(3x^2 / 12xy)}}} I solved it and got {{{3logbase2(x)+logbase2(y)-2}}} But when I plugged the original log into my calcula

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hello! Please help me expand this logarithm: {{{logbase2(3x^2 / 12xy)}}} I solved it and got {{{3logbase2(x)+logbase2(y)-2}}} But when I plugged the original log into my calcula      Log On


   

Question 771755: Hello! Please help me expand this logarithm: logbase2%283x%5E2+%2F+12xy%29
I solved it and got 3logbase2%28x%29%2Blogbase2%28y%29-2 But when I plugged the original log into my calculator to expand it, I got logbase2%28x%5E2%29%2Blogbase2%281%2Fxy%29-2

Thank you!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
log%28+2%2C%28+3x%5E2%29+%2F+%2812x%2Ay%29%29+
+3x%5E2+%2F+%2812x%2Ay%29+=+x+%2F+4y+
+log%28+2%2C++%28x%2F%28+4y+%29%29+%29+
+log%28+2%2Cx+%29+-+log%28+2%2Cy+%29+-+log%28+2%2C4+%29+
+log%28+2%2Cx+%29+-+log%28+2%2Cy+%29+-+2+
--------------------------
A quick check is:
Let +x+=+4+
Let +y+=+8+
+log%28+2%2C%28+3x%5E2%29+%2F+%2812x%2Ay%29%29+
+log%28+2%2C%28%28+3%2A4%5E2%29+%2F+%2812%2A4%2A8%29%29%29+
+log%28+2%2C%28+4%5E2+%2F+%284%2A4%2A8%29%29%29+
+log%28+2%2C+%2816+%2F+%28+16%2A8%29%29+%29+
+log%28+2%2C+%281%2F8%29+%29+=+-3+
and
+log%28+2%2Cx+%29+-+log%28+2%2Cy+%29+-+2+
+log%28+2%2C4+%29+-+log%28+2%2C8+%29+-+2+
+2+-+3+-+2+=+-3+
OK- The calculator might be right, too.
You can use this method to check