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

Logarithm problems

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Options
A. 17
B. 19
C. 23
D. 25

2. 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

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. Two trees are standing along the opposite sides of a road. Distance between the two trees is 400 metres. There is a point on the road between the trees. The angle of depressions of the point from the top of the trees are 45 deg and 60 deg. If the height of the tree which makes 45 deg angle is 200 metres, then what will be the height (in metres) of the other tree?
Options
A. 200
B. 200?3
C. 100?3
D. 250

5. 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
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8. 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

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

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