SOLUTION: Can someone please help explain how to expand this log? log 5 (3 sqrt of p 4 sqrt of q / t ^ 2)

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Question 926617: Can someone please help explain how to expand this log?
log 5 (3 sqrt of p 4 sqrt of q / t ^ 2)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Can someone please help explain how to expand this log?
log 5 (3 sqrt of p 4 sqrt of q / t ^ 2)
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= log5[3sqrt(p)*4sqrt(q/t^2)]
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= log5[12sqrt(pq/t^2)]
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= log5[(12/t)sqrt(pq)]
= log5(12/t)+(1/2)log5(pq)^(1/2)
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Cheers,
Stan H.
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