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If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then...

If `2^(x+y)=6^ya n d3^(x-1)=2^(y+1),` then the value of `(log3-log2)(x-y)` is 1 (b) `(log)_2 3- (log)_3 2` `(c) log(3/2)` (d) none of these

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CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. If (log)(10)[1/(2^x+x-1)]=x[(log)(10)5-1] , then x= 4 (b) 3 (c) 2 ...

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  2. The value of x satisfying the equation 3sqrt(5)^((log5) 5^(((log)5(l...

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  3. 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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  4. The value of 3^((log)4 5)-5^((log)4 3) is

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  5. If a^4b^5=1 then the value of loga(a^5b^4) equals

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  6. If (log)2x+(log)x2=(10)/3=(log)2y+(log)y2 and x!=y ,the x+y= 2 (b) 65...

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  7. If (x+1)^((log)(10)(x+1))=100(x+1), then all the roots are positive re...

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  8. if (log)y x+(log)x y=2,x^2+y=12 , the value of x y is

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  9. If sqrt((log)2x)-0. 5=(log)2sqrt(x ,) then x equals odd integer (b)...

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  10. Find the value of 81^((1//log5 3))+(27^(log9 36)) + 3^((4/(log7 9))

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  11. Find the value of (1/(49))^(1+(log)7 2)+5^(-1(log)((1/5))(7))

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  12. If (log)a3=2a n dlog b 8=3, then prove that (log)a b=(log)3 4.

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  13. Prove that (2^((log)2 1/4x)-3^((log)(27)(x^2+1)^3)-2x) /(7^(4(log)(49...

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  14. Solve (log)4 8+(log)4(x+3)-(log)4(x-1)=2.

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  15. Which of the following pairs of expression are defined for the same se...

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  16. Solve (log)2(3x-2)=(log)(1/2)x

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  17. Solve log(-x)=2log(x+1)dot

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  18. Solve: (log)2(4.3^x-6)-(log)2(9^x-6)=1.

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  19. Solve 2^(x+2)27^(x//(x-1))=9

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  20. Suppose x , y ,z are not equal to 1 and logx+logy+logz=0. Find the val...

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