SOLUTION: Use the properties of Logarithms to write {{{ 3log x+(1/2)log y-log z }}} as single logarithm.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Use the properties of Logarithms to write {{{ 3log x+(1/2)log y-log z }}} as single logarithm.      Log On


   

Question 112985: Use the properties of Logarithms to write +3log+x%2B%281%2F2%29log+y-log+z+ as single logarithm.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
+3log+x%2B%281%2F2%29log+y-log+z+

alogx=logx%5Ea. Using this rule, we can change the problem statement to read:

log+x%5E3%2Blog+%28sqrt%28+y%29%29-log+z+

Now we also know that the sum of the logs is equal to the log of the product, so we can write:

log%28%28x%5E3%2Az%2Asqrt%28y%29%29%29

Hope this helps.
John