SOLUTION: Assume that x is a positive number use the logarithm properties to present the expression log (x+10)-log x as the logarithm of a single quanity. a) log x/x+10 b) log x+10/x c)

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Assume that x is a positive number use the logarithm properties to present the expression log (x+10)-log x as the logarithm of a single quanity. a) log x/x+10 b) log x+10/x c)      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 185441: Assume that x is a positive number use the logarithm properties to present the expression log (x+10)-log x as the logarithm of a single quanity.
a) log x/x+10
b) log x+10/x
c) none of these
d) log 10
Answer by nerdybill(5404) About Me  (Show Source):
You can put this solution on YOUR website!
"log rules" say:
log a - log b = log a/b
.
Therefore,
log (x+10)-log x
= log ((x+10)/x)
.
It looks like of the choice given
b) log x+10/x
is the closest
However, because of the the "order of precedence" it does NOT equal:
log ((x+10)/x)
.
I would say your answer is:
c) none of these