SOLUTION: 3. Use the properties of logarithms to expand completely. log v3<--(supposed to be at the bottom of the log, like a reverse exponent)ab/c^2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 3. Use the properties of logarithms to expand completely. log v3<--(supposed to be at the bottom of the log, like a reverse exponent)ab/c^2      Log On


   



Question 64602: 3. Use the properties of logarithms to expand completely.
log v3<--(supposed to be at the bottom of the log, like a reverse exponent)ab/c^2

Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
Use the properties of logarithms to expand completely.
log v3<--(supposed to be at the bottom of the log, like a reverse exponent)ab/c^2


     /ab\
log3|----|
     \c2/

                    / X \
Use the rule:  logB|-----| = logBX - logBY
                    \ Y /

to rewrite the above as:

log3(ab) - log3c2

Use the rule logB(XY) = logBX + logBY to
rewrite the first term:

log3a + log3b - log3c2

Use the rule logBXY = Y·logBX to 
rewrite the last term:

log3a + log3b - 2·log3c

Edwin