SOLUTION: Expand {{{log(ab/sqrt(c))}}} using the log rules my work: {{{loga+logb-logc^(1/2)}}} I'm not sure if I used the log rules correctly. Is this the answer or am i missing som

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Expand {{{log(ab/sqrt(c))}}} using the log rules my work: {{{loga+logb-logc^(1/2)}}} I'm not sure if I used the log rules correctly. Is this the answer or am i missing som      Log On


   

Question 697486: Expand log%28ab%2Fsqrt%28c%29%29 using the log rules
my work:
loga%2Blogb-logc%5E%281%2F2%29
I'm not sure if I used the log rules correctly. Is this the answer or am i missing some steps to expanding the log?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
First of all, please try to post your questions in an appropriate category. You will get a quicker response if you do so. This problem has nothing to do with quadratic equations. I have changed it to an appropriate category.

log%28%28a%29%29%2Blog%28%28b%29%29-log%28%28c%5E%281%2F2%29%29%29
Your work is all good so far. And you may actually be finished. It depends on the exact meaning of "expand". For many teachers they want you to make the arguments as simple as possible. If this is the case then you need to use one more rule, log%28q%2C+%28x%5Ey%29%29+=+y%2Alog%28q%2C+%28x%29%29, to move the exponent of the "c" out in front:
log%28%28a%29%29%2Blog%28%28b%29%29-%281%2F2%29log%28%28c%29%29