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If (a+(log)4 3)/(a+(log)2 3)=(a+(log)8 3...

If `(a+(log)_4 3)/(a+(log)_2 3)=(a+(log)_8 3)/(a+(log)_4 3)=b` ,then b is equal to `1/2` (2) `2/3` (c) `1/3` (d) `3/2`

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To solve the equation \[ \frac{a + \log_4 3}{a + \log_2 3} = \frac{a + \log_8 3}{a + \log_4 3} = b, \] we will first express the logarithms in terms of a common base. ...
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CENGAGE ENGLISH-LOGARITHM-All Questions
  1. (log)(x-1)x (log)(x-2)(x-1) .....(log)(x-12)(x-11)=2,x is equal to: 9...

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  2. If a , b , c are consecutive positive integers and (log(1+a c)=2K , th...

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  3. If (a+(log)4 3)/(a+(log)2 3)=(a+(log)8 3)/(a+(log)4 3)=b ,then b is eq...

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  4. If p >1 and q >1 are such that log(p+q)=logp+logq ,then the value of l...

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

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  6. 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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  7. 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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  8. There exists a natural number N which is 50 times its own logarithm t...

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

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

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

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

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

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

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

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

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

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

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

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