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 6 of 8.

Dhivi said:   1 decade ago
Can you say the answer for the (5/512) power 1/9?

Goose said:   1 decade ago
log(75) = log(70+5).

= log(7*10)+(2+3).

= [log(7)+log(10)]*log(2)*log(3).

= [0.8541+1]*0.3010*0.4771.

= 1.8451*0.3010*0.4771.

= 0.1557.

Vipin Mishra said:   1 decade ago
Formula:

log a x = log x/log a.

log 5 512 = log 512/log 5.

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

Raj kumar said:   1 decade ago
@Nirav.

log512/log5 = 9log2/log(2+3) = 9log2/(log2*log3).

= 9*.3010/(.3010*.4771).

= 9/.4771 >18.

Nagdish kewat said:   1 decade ago
What is the answer of log3(log2(log3t)) =1 t=?

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?


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