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Let u=(log(2)x)^(2)-6log(2)x+12 where x...

Let `u=(log_(2)x)^(2)-6log_(2)x+12` where x is a real number.. Then the equation `x^(u)=256`, has

A

no solution for x

B

exactly one solution for x

C

exactly two distinct solutions for x

D

exactly three distinct solutions for x

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The correct Answer is:
B
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DISHA PUBLICATION-LOGARITHMS-Practice Exercises (Expert Level)
  1. What is the value of (1)/(log(2)n)+(1)/(log(3)n)+ . . .+(1)/(log(40)n)...

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  2. Which of the following options represents the value of logsqrt(128) ...

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  3. Let u=(log(2)x)^(2)-6log(2)x+12 where x is a real number.. Then the e...

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  4. If 5^(x)=(0.5)^(y)=1000, then the value of (1/x-1/y) is

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  5. The least value of expression 2log(10)x-log(x)(1//100) for xgt1 is ?

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  6. What is the value of P if log(e)2.log(p)625=log(10)16.log(e)10 ?

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  7. If log(12)27=a, then log(6)16 is

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  8. If 2[log(x+y)-log5]=logx+logy, then what is the value of x^(2)+y^(2) ...

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  9. The number of solutions of the equation log(x-3)(x^(3)-3x^(2)-4x+8)=3...

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  10. Find the value of x, if the fourth term in the expansion of ((1)/(x^(...

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  11. Solve : 3^(2x-1)=4^(x+2)

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  12. Solve for x:log(5)(5^(1//x)+125)=log(5)6+1+1//2x

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  13. If log (0.57) = 0. 756 then the value of log 57 + log (0.57)^(3) + log...

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  14. If log(2)[log(7)(x^(2)-x+37)]=1, , then what could be the value of x ?

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  15. If 1/3log(3)M+3log(3)N=1+log(0.008)5, then

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  16. If log(3)2,log(3)(2^(x)-5),log(3)(2^(x)-7/2) are in arithmetic progre...

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  17. If xgey and ygt1, then the value of the expression log(x)(x/y)+log(y)...

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  18. If log(y)x=(a.log(z)y)=(b.log(x)z)=ab, then which of the following pai...

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  19. What is the value of (log(sqrt(alphabeta))(H))/(log(alphabeta)(beta))

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  20. 1/(log(2)a) + 1/(log(4)a) + 1/(log(8)a)+….. To n terms =(n(n+1))/k, th...

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