SOLUTION: P=log4 base a , q= log 5 base a express a) log 100 base a b) log 0.4 base a in terms of p n a

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Question 1201773: P=log4 base a , q= log 5 base a express
a) log 100 base a
b) log 0.4 base a in terms of p n a
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
P=log4 base a , q= log 5 base a express
a) log 100 base a
100 = 4*5*5
log(100) = log(4) + log(5) + log(5) = p + 2q
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b) log 0.4 base a in terms of p n a
0.4 = 4/(2*5)
log(0.4) = log(4) - log(2) - log(5)
log(0.4) = log(4) - log(4)/2 - log(5)
log(0.4) = p - p/2 - q
log%280.4%29+=+p%2F2+-+q