Latest Elitmus Aptitude Question SOLUTION: If a(n)=log(base n)2310. Then find the value of a(subscript 15)+a14+a12+a11-a4-a3. OPTION: A) -log2310 B) 1 C)-1 D) None of the above

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(#M40165036) ELITMUS Numerical Ability question logarithm Keep an EYE

If a(n)=log(base n)2310. Then find the value of a(subscript 15)+a14+a12+a11-a4-a3.
OPTION:
A) -log2310
B) 1
C)-1
D) None of the above

Asked In Elitmus Mantu Kumar Singh (6 years ago)

Solved Read Solution (6)

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Read Solution (6) :

  (6 years ago) Best Solution

let 2310=x,
a15+a14+a12+a11-a4-a3=log(15)x+log(14)x+log(12)x+log(11)x-log(4)x-log(3)x
=logx/log15 + logx/log14 + logx/log12 + logx/log11 - logx/log4 - logx/log3
=logx (1/log15 + 1/log14 + 1/log12 + 1/log11 - 1/log4 - 1/log3)
=logx (-log15-log14-log12-log11+log4+log3)
=logx (-log15-log14-log12-log11+log12)
=logx (-(log(15*14*11)))
=logx (-log2310)
=logx (-logx)
=logx (1/logx)
=1 is the Answer

Is this solution Helpfull? Yes (29) | No (10)  

harshul  (6 years ago)

you can't write 1/log y as -log y.
-1 is common when it is given as log (1/y)

Is this solution Helpfull? Yes (9) | No (4)  

Hirday Ram  (6 years ago)

yes you are right @Harshul

Is this solution Helpfull? Yes (1) | No   

SAMIRAN  (6 years ago)

tell me the answer of this question please..

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Aparna korde  (6 years ago)

Please explain these questions answer

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  (5 years ago)

X=2310
a15+a14+a12+a11-a4 a3=log(15)x+log(14)x+log(12)x+log(11)x-log(4)x-log(3)x
=logx/log15 + logx/log14 + logx/log12 + logx/log11 - logx/log4 - logx/log3
By using log formula
((X/15)*(x/14)*(x/12)*(x/11))/((x/4)*(x/3))
Ans is log 2310 do option d)

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