Aptitude - Logarithm - Discussion

Discussion Forum : Logarithm - General Questions (Q.No. 7)
7.
If log10 2 = 0.3010, then log2 10 is equal to:
699
301
1000
301
0.3010
0.6990
Answer: Option
Explanation:
log2 10 = 1 = 1 = 10000 = 1000 .
log10 2 0.3010 3010 301
Discussion:
18 comments Page 1 of 2.

B Sridhara Naik said:   4 years ago
Good, Thanks for explaining.

Karma said:   6 years ago
@Chand.

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

Navya said:   6 years ago
I can't understand this problem. Please explain in detail.

Pandichitra said:   6 years ago
Thanks @Sagor.
(1)

Sydha said:   6 years ago
I am not getting the answer, please explain it.

Sagor said:   7 years ago
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.
(1)

Shiv said:   7 years ago
Simply log2^10 is reciprocal of log 10^2 so,
log2^10=1/log10^2.
=1/0.3010=10000/3010(removing decimal),
=1000/301.

Mahalakshmi said:   7 years ago
How these base can be changed over here please explain?

Sanjay said:   7 years ago
0.3010 is in decimals, to remove decimals we add zeros.

Chand said:   7 years ago
How 10000 came? Please explain it.


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