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If (log)4 5=aa n d(log)5 6=b , then (log...

If `(log)_4 5=aa n d(log)_5 6=b ,` then `(log)_3 2` is equal to `1/(2a+1)` (b) `1/(2b+1)` (c) `2a b+1` (d) `1/(2a b-1)`

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CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. If p >1 and q >1 are such that log(p+q)=logp+logq ,then the value of l...

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  2. The value of (1+2(log)3 2)/((1+(log)3 2)^2)+((log)6 2)^2 is

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  3. If (log)4 5=aa n d(log)5 6=b , then (log)3 2 is equal to 1/(2a+1) (b)...

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  4. If (log)(10)2=a ,(log)(10)3=bt h e n(log)(0. 72)(9. 6) in terms of a a...

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  5. There exists a natural number N which is 50 times its own logarithm t...

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  6. The value of ((log)2 24)/((log)(96)2)-((log)2 192)/((log)(12)2) is 3 (...

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  7. Find the number of solutions of equation (2x-3)2^x=1

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  8. Find the value of (log)(2sqrt(3))1728.

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  9. Prove that 1/3<(log)(10)3<1/2dot

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

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  11. If 3^x=4^(x-1) , then x=

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

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  13. Solve: (1/2)^x^(2-2x)<1//4.

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

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  15. The least value of the expression 2(log)(10)x-(log)x(0.01)dot for x >1...

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

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

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

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

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

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