Arithmatical - Logarithms
DIRECTIONS : Problems based on Logs.
| 6. |
The value of log2(log5625) is |
| |
A. 2 |
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B. 5 |
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C. 10 |
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D. 15 |
| Solution |
| Let log5625 | = x. |
| Then, 5x | = 625 |
| = 54 |
| ‹=› x=4. |
| Let log2( log5625) | = y. |
| Then, log 24= y |
| ‹=› 2y= 4 |
| y;2. |
|
| 7. |
The value of log5(1/ 125) is |
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A. 3 |
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B. -3 |
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C. 1/3 |
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D. -1/3 |
| Solution |
| Let log5(1/125) | = n. |
| Then, 5n= 1/125 |
| ‹=›5n =5-3 |
| n= -3. |
|
| 8. |
If logx y =100 and log2 x =10, then the values of y is |
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A. 210 |
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B. 2100 |
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C. 21000 |
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D. 210000 |
| Solution |
| log2 x | = 10 |
| x= 210 |
| logx y | = 100 |
| y= x100 |
| =(210)100 |
| y‹=›21000 |
|
| 9. |
Evaluate :log3 27 |
| |
A. 3 |
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B. 4 |
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C. 5 |
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D. 6 |
| Solution |
| log3 27 | = n |
| =3n |
| =27 |
| =33 |
| n‹=›3. |
|
| 10. |
If log√8 x = 3×1/3, find the value of x. |
| |
A. 25 |
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B. 32 |
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C. 37 |
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D. None of these |
s
| Solution |
| log√8 x | = 10/3. |
| x | =( √8)10/3 |
| =2( 3/2×10/3) |
| =2 5 |
| = 32. |
|