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If (a+(log)4 3)/(a+(log)2 3)=(a+(log)8 3...

If `(a+(log)_4 3)/(a+(log)_2 3)=(a+(log)_8 3)/(a+(log)_4 3)=b ,t h e ni se q u a lto` `1/2` (2) `2/3` (c) `1/3` (d) `3/2`

A

`1/2`

B

`2/3`

C

`1/3`

D

`3/2`

Text Solution

Verified by Experts

The correct Answer is:
C
`(a+log_(4) 3)/(a+log_(2)3) = (a+log_(8) 3)/(a+log_(4)3) = (log_(4) 3-log_(8) 3)/(log_(2)3-log_(4) 3) = 1/3`
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CENGAGE-LOGARITHM AND ITS PROPERTIES-Exercise (Single)
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  8. There exists a natural number N which is 50 times its own logarithm to...

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  10. (log)(x-1)x (log)(x-2)(x-1) (log)(x-12)(x-11)=2,x is equal to: 9 (b) ...

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  11. If f(x)=log((1+x)/(1-x)),t h e n f(x1)f(x)=f(x1+x2) f(x+2)-2f(x+1)...

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  12. about to only mathematics

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  14. If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y)...

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  15. The value of x satisfying sqrt3^(-4+2log(sqrt5)x)= 1//9 is

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  19. 4^(log9 3)+9^(log2 4)=1 0^(logx 83), then x is equal to

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