SOLUTION: ln ((square root x) divided by (y square root z)). i got .5lnx-lny+.5lnz, but the last part is supposed to be -.5lnz. what did i do wrong? thanks

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: ln ((square root x) divided by (y square root z)). i got .5lnx-lny+.5lnz, but the last part is supposed to be -.5lnz. what did i do wrong? thanks      Log On


   

Question 25357: ln ((square root x) divided by (y square root z)). i got .5lnx-lny+.5lnz, but the last part is supposed to be -.5lnz. what did i do wrong? thanks
Found 2 solutions by venugopalramana, longjonsilver:
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
ln ((square root x) divided by (y square root z)).
PUT BRACKETS PROPERLY
LN{SQ.RT(X)/(Y*SQ.RT(Z))}IT MEANS SQ.RT.X IS DIVIDED BY BOTH Y AND SQ.RT.Z.
SO WE GET -O.5 LN Z AND NOT +0.5 LN Z
WHERE AS IF IT HAD BEEN
LN{SQ.RT(X)/(Y)*(SQ.RT(Z)},IT COULD BE TAKEN AS
LN{(SQ.RT(X))*(SQ.RT(Z))/(Y),WHEN YOUR ANSWER IS OK. SO PROPER USE OF BRACKETS IS VERY IMPORTANT.HOPE YOU UNDERSTOOD.
i got .5lnx-lny+.5lnz, but the last part is supposed to be -.5lnz. what did i do wrong? thanks

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
ln%28%28sqrt%28x%29%29%2F%28y%2Asqrt%28z%29%29%29
ln%28sqrt%28x%29%29+-+%28ln%28y%29+%2B+ln%28sqrt%28z%29%29%29 --> note the bracket around the y and z terms! This is where you missed your -ve z term...

ln%28x%5E%281%2F2%29%29-%28lny+%2B+ln%28z%5E%281%2F2%29%29%29
ln%28x%5E%281%2F2%29%29+-+lny+-+ln%28z%5E%281%2F2%29%29+
%281%2F2%29ln%28x%29+-+lny+-+%281%2F2%29ln%28z%29+

jon