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Solve for x : x+(log)(10)(1+2^x)=xdot(lo...

Solve for `x : x+(log)_(10)(1+2^x)=xdot(log)_(10)5+log_(10)6`

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ALLEN-LOGARITHMS-All Questions
  1. Solve (log)x2(log)(2x)2=(log)(4x)2.

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

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  3. Solve for x : x+(log)(10)(1+2^x)=xdot(log)(10)5+log(10)6

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  4. Given a^2+b^2=c^2&\ a .0 ; b >0; c >0,\ c-b!=1,\ c+b!=1,\ prove that ...

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

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  6. Find the number of positive integers which have the characterstics 3 w...

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

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  8. If log(10)2=0.3010 ,\ log(10)3=0.4771. Find the number of integers in ...

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

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  10. 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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  11. let y=sqrt(log23log2(12)log2(48)log2(192)+16)-log2(12)log2(48)+10find ...

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  12. 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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  13. A rational number which is 50 times its own logarithm to the base 10, ...

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  14. Prove that a^x-b^y=0\ w h e r e\ x="\ "sqrt(("log")a b)\ &\ y=sqrt((lo...

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  15. 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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  16. If (log)b a(log)c a+(log)a b(log)c b+(log)a c(log)bc=3 (where a , b ,...

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  17. Prove that (log)7 10 is greater than (log)(11)13.

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  18. Solve the system the equations (a x)^(loga)=(b y)^(logb); b^(logx)=a^(...

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  19. Solve for x :(log)5 120+(x-3)-2.(log)5(1-5^(x-3))=-(log)5(0. 2-5^(x-4)...

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  20. Solve the equation for x : log4+(1+1/(2x))log3=log(root(x)3+27)

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