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Aptitude - Logarithm - Discussion

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"Actions speak louder than words."
- (Proverb)
2. 

If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

[A]. 2.870[B]. 2.967
[C]. 3.876[D]. 3.912

Answer: Option D

Explanation:

log5 512
= log 512
log 5
= log 29
log (10/2)
= 9 log 2
log 10 - log 2
= (9 x 0.3010)
1 - 0.3010
= 2.709
0.699
= 2709
699
= 3.876


Happy said: (Sat, Apr 23, 2011 01:25:57 AM)    
 
How is log 10=1.

Sumit said: (Fri, May 27, 2011 01:00:45 AM)    
 
How can you get log (10/2) ?

Kasthuri said: (Sat, Aug 6, 2011 10:30:29 PM)    
 
If log 2 = 0.3010 and log 3 = 0.4771,and log 7 = 0.8451 then the value of log75 is?

Jithu said: (Fri, Aug 19, 2011 03:24:10 PM)    
 
@kasthuri. Can you explain the solution ?

Sandy said: (Sat, Aug 20, 2011 08:09:01 PM)    
 
log 10 means
log 10 to the base 10
that ts equal to 1
so,
log10=1

Heaven.Bangladesh said: (Thu, Sep 1, 2011 02:51:36 PM)    
 
@sumit

Log 5=log(10/2).coz,10/2=5

Shalini said: (Sat, Sep 3, 2011 12:31:07 PM)    
 
@Kasthuri

log 75= log(5*5*3) = log(5*5)+log(3), because log m*n=log m+log n
=2 log5 +log3
=2 log(10/2)+log3
=2(log10-log2)+log3
=2(1-.3010)+..4771
=2*.699+.4771
=1.398+.4771
=1.8751

Sinkay said: (Tue, Dec 6, 2011 04:28:27 PM)    
 
If log 2=0.3010 and log 7=0.8451,

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