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Solve x^((log)y x)=2 and y^((log)x y)=16...

Solve `x^((log)_y x)=2 and y^((log)_x y)=16`

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CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. Which of the following numbers are positive/negative? (log)2 7 (ii) (...

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  2. If (log)3 2,(log)3(2^x-5)a n d(log)3(2^x-7/2) are in arithmetic progre...

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  3. Solve x^((log)y x)=2 and y^((log)x y)=16

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  4. Solve (log)(2x)2+(log)4 2x=-3//2.

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  5. If ageqb >1, then find the largest possible value of the expression (l...

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  6. Solve : 3^((log9 x))xx2 = 3sqrt(3)

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  7. Solve the inequality sqrt((log)2((2x-3)/(x-1)))<1

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  8. Find the number of solutions of equation 2^x+3^x+4^x-5^x=0

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  9. If y=a^(1/(1-(log)a x)) and z=a^(1/(1-(log)a y)),then prove that x=a^...

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  10. Solve (log)x2(log)(2x)2=(log)(4x)2.

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  11. Let a , b , c , d be positive integers such that (log)a b=3/2a n d(log...

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  12. Solve sqrt("log"(-x))=logsqrt("x"^2) (base is 10).

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  13. If (log)3{5+4(log)3(x-1)}=2, then x is equal to

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  14. If (log)(10)[1/(2^x+x-1)]=x[(log)(10)5-1] , then x= 4 (b) 3 (c) 2 ...

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

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

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

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

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

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