SOLUTION: Evaluate the following expression 6log(2 , 2/3) + 2log(2 , 1/6) } - 4log(2 , 2/9)

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Question 1034593: Evaluate the following expression
6log(2 , 2/3) + 2log(2 , 1/6) } - 4log(2 , 2/9)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Evaluate the following expression
6log(2 , 2/3) + 2log(2 , 1/6) } - 4log(2 , 2/9)
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= log2[(2/3)^6*(1/6)^2/(2/9)^4]
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= log2[(64/729)*(1/36)/(16/6561)]
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= log2[(64*1*6561)/(729*36*16)]
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= log2[1]
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= 0
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Cheers,
Stan H.
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