Aptitude - Logarithm - Discussion

Discussion :: Logarithm - General Questions (Q.No.7)

7. 

If log10 2 = 0.3010, then log2 10 is equal to:

[A].
699
301
[B].
1000
301
[C]. 0.3010
[D]. 0.6990

Answer: Option B

Explanation:

log2 10 = 1 = 1 = 10000 = 1000 .
log10 2 0.3010 3010 301

Melissa Ramnauth said: (Oct 23, 2011)  
I do not understand how you get 10000 divided (over) 3010 giving it a result of 1000 divided (over) 301.

Rajeev said: (Dec 8, 2011)  
We know that change based of log.

Log2 10 written as log10 10 divided by log10 2.

We have a value of log10 2.

So simple calculation.

Arun said: (Feb 20, 2014)  
log(a) X =log X/log a using this formula we can solve.. log(10) 2 = 0.3010.
Using that formula we can write log 2/log 10=0.3010.

So take reciprocal log 10/log 2 = 1/0.3010...use the first line formula log(10) 2 = log 10/log 2 [i.e.log(a) X = log X/log a]=1/0.3010 = 1/3*10power of -4 = 10000/3010 = 1000/301.

Puneet said: (Sep 4, 2016)  
Why not answer is 0.6990?

Muhammad Asif said: (Oct 10, 2016)  
Please explain me, I didn't understand.

Ravi said: (Dec 3, 2016)  
B is right. I agree with that.

I.Kiran Kumar said: (Dec 17, 2016)  
Please explain it, I didn't understand.

Lavanyageetha said: (May 19, 2017)  
What is the answer for this question?

Log 64 base 16- log 16 base 64?

Chand said: (Jul 3, 2018)  
How 10000 came? Please explain it.

Sanjay said: (Jul 7, 2018)  
0.3010 is in decimals, to remove decimals we add zeros.

Mahalakshmi said: (Sep 5, 2018)  
How these base can be changed over here please explain?

Shiv said: (Oct 6, 2018)  
Simply log2^10 is reciprocal of log 10^2 so,
log2^10=1/log10^2.
=1/0.3010=10000/3010(removing decimal),
=1000/301.

Sagor said: (Jan 1, 2019)  
We know,
loga M= logb M ÷ logb a,
so, log2 10= log10 10 ÷ log10 2 [here b= 10],
=1 ÷ 0.3010,
=10000 ÷ 3010,
=1000/301.

Sydha said: (Jan 17, 2019)  
I am not getting the answer, please explain it.

Pandichitra said: (Mar 28, 2019)  
Thanks @Sagor.

Navya said: (May 7, 2019)  
I can't understand this problem. Please explain in detail.

Karma said: (Sep 21, 2019)  
@Chand.

To remove a decimal, we multiply both the numerator and denominator by 10000.

Post your comments here:

Name *:

Email   : (optional)

» Your comments will be displayed only after manual approval.