Home
Class 12
MATHS
If (x+1)^((log)(10)(x+1))=100(x+1), then...

If `(x+1)^((log)_(10)(x+1))=100(x+1),` then all the roots are positive real numbers all the roots lie in the interval (0,100) all the roots lie in the interval [-1,99] none of these

A

all the roots lie in the interval are positive real numbers.

B

all the roots lie in the interval `(0,100).`

C

all the roots lie in the interval `[-1,99].`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(c )
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    DISHA PUBLICATION|Exercise Exercise -1 : Concept Builder (Topic 4)|16 Videos
  • LIMITS AND DERIVATIVES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If both the roots of the equation x^(2) + bx + c = 0 lie in the interval (0,1) , then

The number of roots of equation cos^(7)theta - sin^(4)theta = 1 that lie in the interval [0,2pi] is-

If both the roots of the quadratic equation x^(2) mx+4=0 are real and distinct and they lie in the interval [1,5] then m lies in the interval

If both the roots of the equation 4x^(2)-2x+m=0 lie in the interval (-1, 1) , then

Find the real roots of the equation cos^(4)x+sin^(7)x=1 in the interval [-pi,pi]

If both the roots of the quadratic equation x^(2) - mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m lies in the interval

for what values of m, the equation 2x^(2) -2 ( 2m +1) x+ m ( m +1) = 0 m in R has (i) Both roots smallar than 2 ? (ii) Both roots greater than 2 ? (iii) Both roots lie in the interval (2,3) ? (iv) Exactly one root lie in the interval (2,3) ? (v) One root is smaller than 1, and the other root is greater than 1 ? (vi) One root is greater than 3 and the other root is smaller than 2 ? (vii) Roots alpha and beta are such that both 2 and 3 lie between alpha and beta ?

DISHA PUBLICATION-LINEAR INEQUALITIES-Exercise -2 : Concept Applicator
  1. A vertex of the linear in equalities 2x+3yle6,x+4yle4 and x,yge0, is

    Text Solution

    |

  2. 6/ The real solutions of the equation 2^(x+2).5^(6-x)=10^(x^2) is

    Text Solution

    |

  3. If the equation 2^x+4^y=2^y is solved for y in terms of x where x<0, t...

    Text Solution

    |

  4. the less interger a , for which 1+log (5)(x^(2)+1)le log(5) (ax^...

    Text Solution

    |

  5. The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has

    Text Solution

    |

  6. If (x+1)^((log)(10)(x+1))=100(x+1), then all the roots are positive re...

    Text Solution

    |

  7. The equation |x+1||x-1|=a^(2) - 2a - 3 can have real solutions for x, ...

    Text Solution

    |

  8. The set of all values of x satisfying x^(logx(1-x)^(2))=9

    Text Solution

    |

  9. | (x+1)/x | + | x+1 | = (x+1)^2/ |x|

    Text Solution

    |

  10. The equation x^3/4((log)2x)^(2+(log)2x-5/4)=sqrt(2) has (1989, 2M) at ...

    Text Solution

    |

  11. The solution set of the inequality |9^x-3^(x+1) + 15| < 2.9^x - 3^x i...

    Text Solution

    |

  12. The number of solution of | [x]-2x| =4 is

    Text Solution

    |

  13. If f(x)=((1)/(x)+1)/((1)/(x)-1) ,then the value of f(x)+f(-x) is:

    Text Solution

    |

  14. The system of equation |x-1|+3y=4,x-|y-1|=2 has

    Text Solution

    |

  15. For x inR, f(x) is defined as follows : f(x)={{:(x+1,,0lexlt2),(|x-4...

    Text Solution

    |

  16. The equation |x+1|^(log(x+1)(3+2x-x^(2)))=(x-3)|x| has

    Text Solution

    |

  17. 16."4^(x)-3^(x-(1)/(2))=3^(x+(1)/(2))-2^(2x-1).

    Text Solution

    |

  18. Consider the following ststements. I. Solution set of the inequality...

    Text Solution

    |

  19. If Rgergt0 and dgt0, then 0lt(d^(2)+R^(2)-r^(2))/(2dR)le1

    Text Solution

    |

  20. If a, b and c are distinct positive numbers, then the expression (a + ...

    Text Solution

    |