SOLUTION: Help! Use the rules of logarithms to show that the following are equivalent. log 144 = 2 log 3 + 4 log 2 7 log 3 + 5 log 3 = 12 log 3 2 (log 4 - log 3) = log (16/9) -4 log 3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Help! Use the rules of logarithms to show that the following are equivalent. log 144 = 2 log 3 + 4 log 2 7 log 3 + 5 log 3 = 12 log 3 2 (log 4 - log 3) = log (16/9) -4 log 3      Log On


   

Question 32679: Help!
Use the rules of logarithms to show that the following are equivalent.
log 144 = 2 log 3 + 4 log 2
7 log 3 + 5 log 3 = 12 log 3
2 (log 4 - log 3) = log (16/9)
-4 log 3 + log 3 = log (1/27)
Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
log 144
= log(16*9)
= log 16 + log 9
= log (2^4) + log (3^2)
= 4 log 2 + 2 log 3, which is the same as what is specified;
...
You can try doing the rest using the same approach as above.