SOLUTION: use the properties of logarithms to expand the expression log 3squareroot x/5

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: use the properties of logarithms to expand the expression log 3squareroot x/5      Log On


   

Question 53407: use the properties of logarithms to expand the expression

log 3squareroot x/5
Found 2 solutions by Nate, funmath:
Answer by Nate(3500) About Me  (Show Source):
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Properties that will be used:
highlight%28loga%28b%5Ec%29=cloga%28b%29%29
highlight%28loga%28b%2Fc%29=loga%28b%29-loga%28c%29%29
There are a couple of ways to interpret what you typed so I'm going to show you two possibilities:
log3%28sqrt%28x%29%2F5%29
log3%28sqrt%28x%29%29-log3%285%29
log3%28x%5E%281%2F2%29%29-log3%285%29
highlight%28%281%2F2%29log3%28x%29-log3%285%29%29
or if you meant:
log3%28sqrt%28x%2F5%29%29
log3%28%28x%2F5%29%5E%281%2F2%29%29
%281%2F2%29log3%28x%2F5%29
highlight%28%281%2F2%29%28log3%28x%29-log3%285%29%29%29
Happy Calculating!!!