If log 27 = 1.431, then the value of log 9 is 0.754 0.854 0.954 0.654 log 27 = 1

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Question
If log 27 = 1.431, then the value of log 9 is
Options
A. 0.754
B. 0.854
C. 0.954
D. 0.654

Correct Answer

0.954

Explanation

log 27 = 1.431
log $(3^{3})$ = 1.431
3 log 3 = 1.431
log 3 = 0.477
log 9 = log( $3^{2}$ )= 2 log 3 = (2 x 0.477) = 0.954

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1. If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is
Options
A. 2.875
B. 3.875
C. 4.875
D. 5.875

2. The tops of two poles of height 60 metres and 35 metres are connected by a rope. If the rope makes an angle with the horizontal whose tangent is 5/9 metres, then what is the distance (in metres) between the two poles?
Options
A. 63
B. 30
C. 25
D. 45

3. From a point P, the angle of elevation of a tower is such that its tangent is 3/4. On walking 560 metres towards the tower the tangent of the angle of elevation of the tower becomes 4/3. What is the height (in metres) of the tower?
Options
A. 720
B. 960
C. 840
D. 1030

4. The height of a tower is 300 meters. When its top is seen from top of another tower,then the angle of depression is 60�. The horizontal distance between the bases of the two towers is 120 metres. What is the height (in metres) of the small tower?
Options
A. 88.24
B. 106.71
C. 92.15
D. 112.64

5. The upper part of a tree broken over by the wind make an angle of 60 deg with the ground. The distance between the root and the point where top of the tree touches the ground is 25 metres. What was the height (in metres) of the tree?
Options
A. 84.14
B. 93.3
C. 98.25
D. 120.24

6. If log 2 = 0.30103, Find the number of digits in 256 is
Options
A. 17
B. 19
C. 23
D. 25

9. If log72 = m, then log4928 is equal to ?
Options
A. 1/(1+2m)
B. (1+2m)/2
C. 2m/(2m+1)
D. (2m+1)/2m

10. Find the logarithm of 144 to the base 23 :
Options
A. 2
B. 4
C. 8
D. None of these

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