SOLUTION: Express log(b) (x^1/4 y^1/5 all over z^7) as the sum or difference of simpler logarithmic quantities. Assume that all variables represent positive real numbers.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Express log(b) (x^1/4 y^1/5 all over z^7) as the sum or difference of simpler logarithmic quantities. Assume that all variables represent positive real numbers.      Log On


   

Question 83734: Express log(b) (x^1/4 y^1/5 all over z^7) as the sum or difference of simpler logarithmic quantities. Assume that all variables represent positive real numbers.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Express log(b) (x^1/4 y^1/5 all over z^7)
Rule: log(AB/C) = logA + logB - logC
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Your Problem:

= log (x^1/4) + logy^1/5 - logz^7
Rule: log A^n = nlogA
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Your Prooem continued:
= (1/4)logx + (1/5)logy - 7logz
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Comment: each of these expressions are "using base b"
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Cheers,
Stan H.