SOLUTION: I am really struggling with this problem. can you please show me step by step? 7/3 logn 7y+ 2/5 logn (49y^2) What is the answer? and how did you get the answer? thank you!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I am really struggling with this problem. can you please show me step by step? 7/3 logn 7y+ 2/5 logn (49y^2) What is the answer? and how did you get the answer? thank you!      Log On


   



Question 689453: I am really struggling with this problem. can you please show me step by step?
7/3 logn 7y+ 2/5 logn (49y^2)
What is the answer? and how did you get the answer? thank you!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(7/3)logn(7y) + (2/5)logn (49y^2)
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= logn[(7y)^(7/3)] + logn[(7y)^2]^(2/5)
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= logn[(7y)^[(7/3)+(4/5)]
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= logn[(7y)^(47/15)]
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= (47/15)*logn(7y)
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Cheers,
Stan H.