Aptitude - Logarithm - Discussion
Discussion Forum : Logarithm - General Questions (Q.No. 8)
8.
If log10 2 = 0.3010, the value of log10 80 is:
Answer: Option
Explanation:
| log10 80 | = log10 (8 x 10) |
| = log10 8 + log10 10 | |
| = log10 (23 ) + 1 | |
| = 3 log10 2 + 1 | |
| = (3 x 0.3010) + 1 | |
| = 1.9030. |
Discussion:
6 comments Page 1 of 1.
Mahesh said:
1 decade ago
Why take (8*10) in step 1st?
Gayathri said:
1 decade ago
log10 80 = log10 (8*10)
Because in question they are give log10 2 value for that we split this 80 and we can able to write 8 in terms of power 2 that's why it is split.
Because in question they are give log10 2 value for that we split this 80 and we can able to write 8 in terms of power 2 that's why it is split.
Mehdi said:
10 years ago
Why we take (8*10) in first step describe me in detail?
Dheeraj said:
8 years ago
Log10^80=80log10.
Now log10^2=2log10=0.3010.
Log10=0.1505.
Put the value,
80*0.1505=12.040.
Now log10^2=2log10=0.3010.
Log10=0.1505.
Put the value,
80*0.1505=12.040.
Jasmitha said:
8 years ago
@Mahesh.
Just because 10*8=80 so we are splitting.
Just because 10*8=80 so we are splitting.
(2)
Vivek said:
4 years ago
Why can't i write it as; log(2*2*2*10)?
= log(2)+log(2)+log(2)+log10 = 0.9030+1=1.9030?
= log(2)+log(2)+log(2)+log10 = 0.9030+1=1.9030?
(2)
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