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OverviewExercise"Weakness of attitude becomes weakness of character."
- Albert Einstein
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| 11. |
If log 2 = 0.30103, the number of digits in 264 is:
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Answer: Option C
Explanation:
| log (264) |
= 64 x log 2 |
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= (64 x 0.30103) |
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= 19.26592 |
Its characteristic is 19.
Hence, then number of digits in 264 is 20.
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| 12. |
| If logx |
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9 |
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= - |
1 |
, then x is equal to: |
| 16 |
2 |
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Answer: Option C
Explanation:
| logx |
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9 |
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= - |
1 |
| 16 |
2 |
 x-1/2 |
= |
9 |
| 16 |
| |
1 |
= |
9 |
| x |
16 |
| x = |
16 |
| 9 |
| x = |
256 |
| 81 |
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| 13. |
If ax = by, then:
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Answer: Option D
Explanation:
ax = by
log ax = log by
x log a = y log b
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log a |
= |
y |
. |
| log b |
x |
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| 14. |
If logx y = 100 and log2 x = 10, then the value of y is:
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Answer: Option A
Explanation:
log 2 x = 10 x = 210.
 logx y = 100
y = x100
y = (210)100 [put value of x]
y = 21000.
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| 15. |
The value of log2 16 is:
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Answer: Option C
Explanation:
Let log2 16 = n.
Then, 2n = 16 = 24 n = 4.
log2 16 = 4.
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