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If 3^x=4^(x-1) , then x= (2(log)3 2)/(2...

If `3^x=4^(x-1)` , then `x=` `(2(log)_3 2)/(2(log)_3 2-1)` (b) `2/(2-(log)_2 3)` `1/(1-(log)_4 3)` (d) `(2(log)_2 3)/(2(log)_2 3-1)`

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CENGAGE ENGLISH-LOGARITHM-All Questions
  1. Prove that 1/3<(log)(10)3<1/2dot

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  2. Arrange (log)2 5,(log)(0. 5)5,(log)7 5,(log)3 5 in decreasing order.

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  3. If 3^x=4^(x-1) , then x= (2(log)3 2)/(2(log)3 2-1) (b) 2/(2-(log)2 3...

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  4. Solve: |x-3|^(3x^2-10 x+3)=1

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  5. Find the smallest integral value of x satisfying (x-2)^(x^2-6x+8))&gt...

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  6. The least value of the expression 2(log)(10)x-(log)x(0.01)dot for x &...

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  7. The solution of the equation (log)7(log)5(sqrt(x+5)+sqrt(x)=0 is...

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  8. Let (x0, y0) be the solution of the following equations: (2x)^(1n2)=(3...

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  9. If In(a+c),ln(a-c),ln(a-2b+c) are in AdotPdot, then a , b , c ,a r ...

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  10. Prove that number (log)2 7 is an irrational number.

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  11. Which of the following numbers are positive/negative? (log)2 7 (ii) (...

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  12. 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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  13. Solve x^((log)y x)=2a n dy^((log)x y)=16

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

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

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

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

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

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  19. 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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  20. Solve (log)x2(log)(2x)2=(log)(4x)2.

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