SOLUTION: Given: LOGcX=3.1 LOGcY=1.8 LOGcZ=2.7 evaluate LOGc(XYZ) evaluate LOGc(XY/Z)

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Question 437079: Given: LOGcX=3.1 LOGcY=1.8 LOGcZ=2.7
evaluate LOGc(XYZ)
evaluate LOGc(XY/Z)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Given: LOGcX=3.1 LOGcY=1.8 LOGcZ=2.7
evaluate LOGc(XYZ)
evaluate LOGc(XY/Z)
..
logc(xyz)=logc(x)+logc(y)+logc(z) (using multiplication rule for logarithms)
=3.1+1.8+2.7=7.6
..
logc(xy/z)=logc(x)+logc(y)-logc(z) (using multiplication and division rules for logarithms)
=3.1+1.8-2.7=2.2