Aptitude - Logarithm - Discussion

Discussion Forum : Logarithm - General Questions (Q.No. 2)
2.
If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:
2.870
2.967
3.876
3.912
Answer: Option
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
Discussion:
71 comments Page 5 of 8.

Nirav said:   1 decade ago
Why are they dividing log 512 by log 5?

Is this a formula?

Apoorva said:   1 decade ago
Why is it only 2?

K.rajeshreddy said:   1 decade ago
log5512 = log512/log5 = 9log2/log5.
= 9log2/log3+log2.
= 9*0.3010/0.4771+0.3010.

I think this is this the correct procedure as log 2 and log3 values are given. Why we need to go for log 10/2?

Lekan said:   1 decade ago
Please who can solve this log10 2 = 0.3010?

Vigneshraj said:   1 decade ago
@jeromy.

Click the impotant formulas link there you can see 7th formula using that formula we divide log512 by log5.

Vipin Mishra said:   1 decade ago
Formula:

log a x = log x/log a.

log 5 512 = log 512/log 5.

Usha said:   1 decade ago
If log2=0.3010 and log3= 0.4771, then log75 = ?

Sinkay said:   1 decade ago
If log 2=0.3010 and log 7=0.8451,

Shalini said:   1 decade ago
@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

Heaven.bangladesh said:   1 decade ago
@sumit

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


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