Aptitude - Logarithm - Discussion
Discussion Forum : Logarithm - General Questions (Q.No. 10)
10.
| The value of |  |
1 | + | 1 | + | 1 |  |
is: |
| log3 60 | log4 60 | log5 60 |
Answer: Option
Explanation:
| Given expression | = log60 3 + log60 4 + log60 5 |
| = log60 (3 x 4 x 5) | |
| = log60 60 | |
| = 1. |
Discussion:
11 comments Page 1 of 2.
Nandha said:
1 decade ago
How the expression will changed the top of the log ?
Mike said:
1 decade ago
Use the property : loga b = logx b/logx a
1/log3 60 = 1/(log60 60/log60 3) = log60 3/log60 60
Repeat with other terms. Denominators reduce to 1.
Complete the numerator addition as described above.
1/log3 60 = 1/(log60 60/log60 3) = log60 3/log60 60
Repeat with other terms. Denominators reduce to 1.
Complete the numerator addition as described above.
(1)
Gayathri said:
1 decade ago
1/log3 60+1/log4 60+1/log5 60.
= 1/(log60 60/log60 3)+1/(log60 60/log60 4)+1/(log60 60/log60 5).
= (log60 3+log60 4+log60 5)/log60 60.
= log60(3*4*5)/1.
= log60 60.
= 1.
= 1/(log60 60/log60 3)+1/(log60 60/log60 4)+1/(log60 60/log60 5).
= (log60 3+log60 4+log60 5)/log60 60.
= log60(3*4*5)/1.
= log60 60.
= 1.
(6)
PSN said:
1 decade ago
1) Can we use 3 as the base?
2) What is the answer of this?
log3 60/log3 60.
2) What is the answer of this?
log3 60/log3 60.
(1)
Eliya said:
1 decade ago
log 1 is not equal to 0?
Pravallika said:
9 years ago
@Eliya.
log 1 = 0
log 60 (60) = 1 [log 60 to the base 60].
log 1 = 0
log 60 (60) = 1 [log 60 to the base 60].
(1)
RAVI said:
9 years ago
Yes, 1 is the right answer.
(1)
Neelima said:
8 years ago
Yes, 1 is the correct answer. I agree.
(1)
Norbert Francis Ojok said:
8 years ago
Yeah, one is correct, refer the the rule of log number six in the important formulas.
(1)
SUNDAR said:
7 years ago
Yes, 1 is the correct answer. I agree with the given answer.
(1)
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