SOLUTION: log[3](27)/log[3](9)= 27/9 I know that this is a true statement and the answer equals 3 but, I can't figure out how to solve this problem step by step so I can know the proper wa

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log[3](27)/log[3](9)= 27/9 I know that this is a true statement and the answer equals 3 but, I can't figure out how to solve this problem step by step so I can know the proper wa      Log On


   

Question 693873: log[3](27)/log[3](9)= 27/9
I know that this is a true statement and the answer equals 3 but, I can't figure out how to solve this problem step by step so I can know the proper way. May you help me please...thank you in advance.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log[3](27)/log[3](9)= 27/9
I know that this is a true statement and the answer equals 3 but,
==============
How do you know?
27 = 3^3
9 = 3^2
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log[3](27)/log[3](9)= 3/2,
not 27/9
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log%283%2C27%29+=+log%2827%29%2Flog%283%29 = 3
log%283%2C9%29+=+log%289%29%2Flog%283%29 = 2