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The value of 6+(log)(3/2)[1/(3sqrt(2)) ...

The value of `6+(log)_(3/2)[1/(3sqrt(2)) * sqrt{ (4 - 1/(3sqrt(2))) sqrt(4 - 1/(3sqrt(2))....... }` is ...............

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`y=sqrt((4-1/(3sqrt2))sqrt((4-1/(3sqrt2)sqrt((4-1/(3sqrt2)...`
`y=sqrt(4-1/(3sqrt2)y`
`y^2=4-y/(3sqrt2)`
`3sqrt2y^2+y-12sqrt2=0`
`y=(-1+sqrt(1-(-12sqrt2)*(3sqrt2)*4))/(2*3sqrt2)`
`y=(-1+sqrt(1+144*2))/(2*3sqrt2)`
`y=(-1+sqrt289)/(6sqrt2)`
`y=8/(3sqrt2)`
...
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CENGAGE-LOGARITHM-Solved Examples And Exercises
  1. Solve for: x :(2x)^((log)b2)=(3x)^((log)b3) .

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  2. Let a=(log)3(log)3 2. An integer k satisfying 1<2^(-k+3^((-a)))<2, mus...

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  3. The value of 6+(log)(3/2)[1/(3sqrt(2)) * sqrt{ (4 - 1/(3sqrt(2))) sqr...

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  4. (log)(x-1)x (log)(x-2)(x-1) (log)(x-12)(x-11)=2,x is equal to: 9 (b) ...

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  5. If f(x)=log((1+x)/(1-x)),t h e n (a)f(x1)f(x)=f(x1+x2) (b)f(x+...

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

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

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  9. 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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  10. 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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  11. 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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  12. There exists a natural number N which is 50 times its own logarithm t...

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

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

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

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

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

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

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

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