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Find the given logarithm. Assume that log 2 = 0.301, log 3 = 0.477. Do not round.

log 12 =   

log 9/2 =   

log 35 =   

Best Answer 

 #1
avatar+33616 
+5

General rules:  log(a*b) = log(a) + log(b)  and log(ab) = b*log(a)

 

So:

log(12) = log(4*3) = log(4) + log(3) = log(22) + log(3) = 2*log(2) + log(3)

log(9/2) = log(9) - log(2) = log(32) - log(2) = 2*log(3) - log(2)

log(35) = 5*log(3)

 

I'll leave you to fill in the values for log(2) and log(3)

.

 Feb 10, 2015
 #1
avatar+33616 
+5
Best Answer

General rules:  log(a*b) = log(a) + log(b)  and log(ab) = b*log(a)

 

So:

log(12) = log(4*3) = log(4) + log(3) = log(22) + log(3) = 2*log(2) + log(3)

log(9/2) = log(9) - log(2) = log(32) - log(2) = 2*log(3) - log(2)

log(35) = 5*log(3)

 

I'll leave you to fill in the values for log(2) and log(3)

.

Alan Feb 10, 2015

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