SOLUTION: Given log(8) and log(9),how many of log(n) (2 <= n <= 25) can you find?

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Question 550553: Given log(8) and log(9),how many of log(n) (2 <= n <= 25) can you find?
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Let A = log(8) and B = log(9)

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To get log(2):

log(8) = A

log(2³) = A

3log(2) = A

log(2) = 

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To get log(3):

log(9) = B

log(3²) = B

2log(3) = B

log(3) = 

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To get log(4)

log(4) = log(2²) = 2log(2) = 2() = 
 
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To get log(6)

log(6) = log(2×3) = log(2) + log(3) =  + 

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log(8) = A

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log(9) = B

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log(12) = log(4×3) = log(4) + log(3) =  + 

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log(16) = log(8×2) = log(8) + log(2) = A +  = 

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log(18) = log(9×2) = log(9) + log(2) = B +  

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log(24) = log(8×3) = log(8) + log(3) = A + 

Edwin
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