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If y=a^(1/(1-(log)a x)) and z=a^(1/(1-(...

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

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CENGAGE ENGLISH-LOGARITHM-All Questions
  1. Solve the inequality sqrt((log)2((2x-3)/(x-1)))<1

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

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

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

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

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  7. If (log)3{5+4(log)3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (...

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

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

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  10. If 2^(x+y)=6^y and 3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y)...

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  11. The value of 3^((log)4 5)-5^((log)4 3) is 0 (b) 1 (c) 2 (d) none of...

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

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  13. If (log)2x+(log)x2=(10)/3=(log)2y+(log)y2a n dx!=y ,t h ex+y= 2 (b) 6...

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

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  15. if (log)y x+(log)x y=2,x^2+y=12 , the value of x y is 9 (b) 12 (c) ...

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

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

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

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  19. Prove that: 2^((sqrt((log)a4sqrt(a b)+(log)b4sqrt(a b))-sqrt((log)a4sq...

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

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