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
0
1
5
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.

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.
(6)

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)

PSN said:   1 decade ago
1) Can we use 3 as the base?

2) What is the answer of this?
log3 60/log3 60.
(1)

Pravallika said:   9 years ago
@Eliya.

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)

Pavan said:   3 years ago
Yes, 1 is the correct answer.
(1)

Nandha said:   1 decade ago
How the expression will changed the top of the log ?


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