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Q.

If log32,log3(2x5)  and  log3(2x72) are in  AP,x is equal to

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a

2

b

2,3

c

3

d

4

answer is B.

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Detailed Solution

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log32,log3(2x5)  and log3(2x72)  are in AP  ....(i)
For defined, 2x5>0  and 2x72>0 
  2x>5      ....(ii)
From Eq. (i), 2,2x5,2x72  are in GP
 (2x5)2=2·(2x72)22x12·2x+32=0(2x8)(2x4)=02x=8,42x=8=23,2x4[fromEq.(ii)]x=3
 

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