Latest Elitmus Aptitude Question SOLUTION: if log xy^2 =a, log x^3y =b,find log y/log x=??

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(#M40156206) ELITMUS Category question Keep an EYE

if log xy^2 =a, log x^3y =b,find log y/log x=??

Asked In Elitmus Bibha kumari (8 years ago)

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Bibha kumari  (8 years ago)

log xy^2 =a
log x+log y^2=a
logx+2logy=a
logx=a-2logy------------(1)
logy=a-logx/2----------(2)

logx^3+logy=b
3logx+logy=b--------------(3)

3(a-2logy)+logy=b-----(from 1)
3a-6logy+logy=b
3a-b=5logy
logy=3a-b/5

3logx+a-logx/2=b
6logx+a-logx=2b
5logx=2b-a
logx=2b-a/5

logy/logx=3a-b/2b-a-----------

Is this solution Helpfull? Yes (7) | No   

mohit  (8 years ago)

b-a/3a-2b

Is this solution Helpfull? Yes (1) | No (1)  

Alok Tripathi  (8 years ago)

a=log x+2log y
b=3log x+log y

substituting the values of log x and log y from above equations we get

log x=(2b-a)/5
log y=(3a-b)/5

so, log y/log x= 3a-b/2b-a

Is this solution Helpfull? Yes (1) | No   

abhishek chaubey  (8 years ago)

was there any option like (a-b) [e^(a-b)/b]+2 ?
if yes then this is the answer

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