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If 4^A+9^B=10^C ,\ where A=(log)(16)4,\...

If `4^A+9^B=10^C ,\ ` where `A=(log)_(16)4,\ B=(log)_3 9\ &\ C=(log)_x 83` then find `xdot`

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ALLEN-LOGARITHMS-All Questions
  1. Solve for x :(l g)4(log)3(log)2x=0

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  2. Find the value of 49^A+5^B w h e r e\ A=1-(log)7 2\ &\ B=-(log)5 4.

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  3. If 4^A+9^B=10^C ,\ where A=(log)(16)4,\ B=(log)3 9\ &\ C=(log)x 83 th...

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  4. Solve the system of equations: (log)a x(log)a(x y z)=48(log)a y loga(x...

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

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

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

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  8. (1/2)^logx^2+2> 3.2^(-"log"(-x))

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

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

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

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

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

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

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

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

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

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

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