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Compute the following 56+(log)(sqrt(2))4...

Compute the following `56+(log)_(sqrt(2))4/(sqrt(7)+sqrt(3))+(log)_(1//2)1/(10+2sqrt(21))`

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ALLEN-LOGARITHMS-All Questions
  1. Solve the system of equations: (log)a x(log)a(x y z)=48(log)a y loga(x...

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  2. The vlaue of (81^((1)/(log(5)9))+3^((3)/(log(sqrt(6))3)))/(409)((sqrt(...

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  3. Compute the following 56+(log)(sqrt(2))4/(sqrt(7)+sqrt(3))+(log)(1//2)...

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  4. The value of 4^(5log(4sqrt(2)(3-sqrt(6))-6log(8)(sqrt(3)-sqrt(2)))) is

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  5. (1/2)^logx^2+2> 3.2^(-"log"(-x))

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

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  7. Solve for x :(log)("x"+1)(x^2+x-6)^2=4

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  8. The number of positive integers satisfying x+(log)(10)(2^x+1)=x(log)(1...

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  9. If a^(2) + b^(2) -c^(2) = 0, " then" (1)/("log"(c+a)b) + (1)/("log"(c-...

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  10. Given (log)(10)34. 56=1. 5386 ,\ find (log)(10)3. 456 ;(log)(10)0. 34...

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  11. Find the number of positive integers which have the characterstics 3, ...

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  12. If (log)(10)2=0. 3010\ &(log)(10)3=0. 4771.\ Find the value of (log...

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  13. Find the antilogarihtm of 0.75 if the base of the logarithm is2401

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  14. If x ,\ y >0,(log)y x+(log)x y=(10)/3\ a n d\ x y=144 ,\ t h e n(x+y...

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  15. let y=sqrt(log2(3)log2(12)log2(48)log2(192)+16)-log2(12)log2(48)+10fin...

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  16. If x=1+(log)a b c ,\ y=1+(log)b c a\ a n d\ z=1+(log)c a b ,\ then pr...

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  17. A rational number which is 50 times its own logarithm to the base 10 ...

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  18. The value of a^(sqrt((log)a b))-b^(sqrt((log)b a))(w h e r ea ,b >0a n...

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  19. If ((log)a N)/((log)c N)=((log)a N-(log)b N)/((log)b N-(log)c N),w h e...

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  20. If (log)b a(log)c a+(log)a b(log)c b+(log)a c(log)cc=3 (where a , b , ...

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