SOLUTION: log 225/36- log25/81-log 64/729 evaluate

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log 225/36- log25/81-log 64/729 evaluate      Log On


   

Question 1196610: log 225/36- log25/81-log 64/729 evaluate
Found 3 solutions by josgarithmetic, MathLover1, greenestamps:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
WHAT you ask for?

log 225/36- log25/81-log 64/729
Not completely know what you really have.
Maybe you really have log%28%28225%2F36%29%29-%28log%28%2825%29%29%29%2F%2881-log%28%2864%2F729%29%29%29
?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
+log+%28225%2F36%29-+log%2825%2F81%29-log%28+64%2F729%29 ..........evaluate
+log+%28225%29-log%2836%29-+%28log%2825%29-log%2881%29%29-%28log%28+64%29-log%28729%29%29
+log+%28225%29-log%2836%29-+log%2825%29%2Blog%2881%29-log%28+64%29%2Blog%28729%29
+2log%2815%29-2log%286%29-+2log%285%29%2B4log%283%29-6log%282%29%2B6+log%283%29
+2log%283%2A5%29-2log%282%2A3%29-+2log%285%29-6log%282%29%2B10log%283%29

+2log%283%29%2B2log%285%29-2log%282%29-2log%283%29-+2log%285%29-6log%282%29%2B10log%283%29
++-2log%28%282%29%29-6log%28%282%29%29%2B10log%28%283%29%29
++10log%28%283%29%29-8log%28%282%29%29 -> exactly
++5.441 ->approximately


Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


log%28225%2F36%29-log%2825%2F81%29-log%2864%2F729%29

Use log(A)-log(B) = log(A/B):

log%28%28225%2F36%29%2881%2F25%29%28729%2F64%29%29

log%28%28225%2A81%2A729%29%2F%2836%2A25%2A64%29%29

log%28%289%2A9%2A729%29%2F%284%2A64%29%29

log%28%283%5E10%29%2F%282%5E8%29%29

10%2Alog%283%29-8%2Alog%282%29