Aptitude - Logarithm - Discussion
Discussion Forum : Logarithm - General Questions (Q.No. 3)
3.
| log 8 | is equal to: |
| log 8 |
Answer: Option
Explanation:
| log 8 | = | log (8)1/2 | = |  log 8 |
= | 1 | . |
| log 8 | log 8 | log 8 | 2 |
Discussion:
21 comments Page 2 of 3.
Dishallar said:
9 years ago
Please help me with these logarithms given that log 3 = M.
a) m+n as a logarithm of single number.
b) log 9 in terms of m.
c) log2 1/4 interms of m&n.
a) m+n as a logarithm of single number.
b) log 9 in terms of m.
c) log2 1/4 interms of m&n.
Dishallar said:
9 years ago
Given that log 2= 0,3010 and 3 = 0,4771.
Evaluate,
a) Log 2, 25.
b) Square root of log 60.
Evaluate,
a) Log 2, 25.
b) Square root of log 60.
Sindhuja said:
8 years ago
I am not getting this. Please explain it clearly.
Shubham kumar singh said:
8 years ago
I am not getting this. Please explain me clearly.
ABBHIRANJAN SINGH said:
8 years ago
2 concept goes here.
1. You can write root 8 in terms of power i.e 8^(1/2) then 1/2 is multiplied and now the term is (1/2)log8/log8 here many people think that log8/log8 cancel but this thing doesn't happen log cannot be cancelled.
So we have to use the formula i.e, loga/logb i.e log(a-b) so here log( 8-8) gives the result log0 and value of log 0 is 1 so when 1 is multiplied with 1/2 it is 1/2.
1. You can write root 8 in terms of power i.e 8^(1/2) then 1/2 is multiplied and now the term is (1/2)log8/log8 here many people think that log8/log8 cancel but this thing doesn't happen log cannot be cancelled.
So we have to use the formula i.e, loga/logb i.e log(a-b) so here log( 8-8) gives the result log0 and value of log 0 is 1 so when 1 is multiplied with 1/2 it is 1/2.
Satyabrata panda said:
7 years ago
Thank you all for explaining it.
ANANYA NEOGI said:
7 years ago
It is not clear to me. Please explain the answer in clear.
(2)
Husain said:
7 years ago
=Log√8/Log8.
=0.4515/0.9030,
=0.5,
=1/2.
=0.4515/0.9030,
=0.5,
=1/2.
(5)
Ajith said:
5 years ago
Log √8 divided by 8.
There is a formula i.e.
Log a divided by log b can be written as log a base b.
Here ,
Since the bases of loga and logb are same so we can write log a base b.
So, log root 8 divided by 8 can be written as log root 8 base 8,
So, implies root 8 can be written as 8 power 1/2,
So, low 8 power 1/2 base 8 is equal to 1/2.
There is a formula i.e.
Log a divided by log b can be written as log a base b.
Here ,
Since the bases of loga and logb are same so we can write log a base b.
So, log root 8 divided by 8 can be written as log root 8 base 8,
So, implies root 8 can be written as 8 power 1/2,
So, low 8 power 1/2 base 8 is equal to 1/2.
(2)
India said:
4 years ago
Log root 8/log 8=
Log root 8/log root 8 (root 8)
Log and log cancels and also root 8 and root 8 cancels.
Then 1 in the numerator and root 8 in denominator remains,
Hence 1/root 8 is the answer.
Log root 8/log root 8 (root 8)
Log and log cancels and also root 8 and root 8 cancels.
Then 1 in the numerator and root 8 in denominator remains,
Hence 1/root 8 is the answer.
(2)
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