SOLUTION: What is log base 3 Radical b times log base 3 c to the exponent 3/2, divided by log a to the exponent 5: when log base 3 a=5, log base 3 b=-2 and log base 3 c= 3 please supply st

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: What is log base 3 Radical b times log base 3 c to the exponent 3/2, divided by log a to the exponent 5: when log base 3 a=5, log base 3 b=-2 and log base 3 c= 3 please supply st      Log On


   



Question 466852: What is log base 3 Radical b times log base 3 c to the exponent 3/2, divided by log a to the exponent 5: when log base 3 a=5, log base 3 b=-2 and log base 3 c= 3
please supply steps to solution.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is log base 3 Radical b times log base 3 c to the exponent 3/2, divided by log a to the exponent 5:
when (log3(a)=5, log3(b) =-2 and log3(c) = 3
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(log3(sqrt(b))*(log3(c^(3/2))/log3(a^5)
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= (1/2)log3(b)*(3/2)log3(c)/5log3(a)
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= (1/2)(-2) *(3/2)(3)/5(5)
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= -1*(9/2)/25
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= -9/50
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Cheers,
Stan H.
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