Home
Class 10
MATHS
If log(2)(x^(2)-3)=5, which of the follo...

If `log_(2)(x^(2)-3)=5`, which of the following could be the value of x ?

A

`3.61`

B

`4.70`

C

`5.29`

D

`5.92`

Text Solution

Verified by Experts

The correct Answer is:
D

If `log_(2)(x^(2)-3)=5`, then `x^(2)-3=2^(5)=32` :
`x^(2)-3=32`
`x^(2)=35`
`x = pm sqrt(35)~~ pm 5.92`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE TEST 1

    KAPLAN|Exercise PRACTICE TEST|50 Videos
  • PRACTICE TEST 3

    KAPLAN|Exercise PRACTICE TEST|50 Videos

Similar Questions

Explore conceptually related problems

If log_(2)(x-16)=log_(4)(x-4) , which of the following could be the value of x ?

If f(x)=x^(2)+2 , which of the following could be a value of f(x)?

If (x^(2)+6x-16)/(x^(2)-5x+6)=(-6)/(x^(2)-2x-3) , then which of the following could be a value of x?

IF x^2+2xy+y^2=64 and y-x=12, which of the following could be the value of x?

Use the method of plugging In to solve the following problem. If x^2 + 4x + 3 is odd, then which one of the following could be the value of x?

For the equation x^(3/4(logx)^(2)+log_(2)x-5/4)=sqrt2 , which one of the following is true ?

Which of the following could be g(x) if f(x)=5x^(2)+4 and f(g(3))=84 ?

Which of the following is a value of x that satisfies log_(x) 36 = 2 ?

For the system of equation "log"_(10) (x^(3)-x^(2)) = "log"_(5)y^(2) "log"_(10)(y^(3)-y^(2)) = "log"_(5) z^(2) "log"_(10)(z^(3)-z^(2)) = "log"_(5)x^(2) Which of the following is/are true?

Consider the equation log_(5)[(2+sqrt5)^(x)+(sqrt5-2)^(x)]=1/2-log_(1//5)2. which of the following is True?

KAPLAN-PRACTICE TEST 2 -PRACTICE TEST
  1. If 0 le x le pi, where is (tan x)/(sin x) defined ?

    Text Solution

    |

  2. A rectangular box with an open top is constructed from cardboard to ha...

    Text Solution

    |

  3. ((n+2)!-(n+1)!)/(n!)=

    Text Solution

    |

  4. Bob wishes to borrow some money. He needs to defer to the following fo...

    Text Solution

    |

  5. A particle is moving along the line 5y=-6x+30 at a rate of 2 units per...

    Text Solution

    |

  6. If the area of triangle ABC is 15, what is the length of AC ?

    Text Solution

    |

  7. Which of the following functions has a range of -1 lt y lt 1 ?

    Text Solution

    |

  8. What is the sum of the infinite series 1-(1)/(3)+(1)/(9)-(1)/(27)+… ?

    Text Solution

    |

  9. The shaed region represents the set C of all points (x, y) such that x...

    Text Solution

    |

  10. lim(n to oo)(1-2n^(2))/(5n^(2)-n+100)=

    Text Solution

    |

  11. If log(2)(x^(2)-3)=5, which of the following could be the value of x ?

    Text Solution

    |

  12. If 2 is a zero of the function f(x)=6x^(3)-11x^(2)-3x+2, what are the ...

    Text Solution

    |

  13. A circle of radius 1 is placed on an incline where point P, a point on...

    Text Solution

    |

  14. If 0 le x le 2pi and sin x lt 0, which of the following must be true ?...

    Text Solution

    |

  15. If i^(2)=-1, which of the following is a square root of 8 - 6i ?

    Text Solution

    |

  16. Figure shows rectangle ABCD. Points A and D are on the parabola y = 2x...

    Text Solution

    |

  17. If x ge 0 and arcsin x = arccos (2x), then x =

    Text Solution

    |

  18. If f(x)=(1)/(2)x-4 and f(g(x))=g(f(x)), which of the following can be ...

    Text Solution

    |

  19. If a right circular cylinder of height 10 is inscribed in a sphere of ...

    Text Solution

    |

  20. If the diagonals AC and BD intersect at point P in the cube in Figure ...

    Text Solution

    |