Home
Class 12
MATHS
Consider the equation: 2^(|x+1|)-2^x=|2^...

Consider the equation: `2^(|x+1|)-2^x=|2^x-1|+1` The least value of `x` satisfying is a. 0 b. 2 c. 4 d. None of these

A

0

B

2

C

4

D

-2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

Consider the equation: 2^(x+1)-2^(x)=|2^(x)-1|+1 The least value of x satisfying is a.0 b.2 c.4 d.None of these

Consider the equation 2^(|x+1|) - 2^x =|2^x -1|+ 1 The least value of x satisfying the equation is (A) 0 (B) 2 (C)4 (D) None of these 19 Number of integers less than 15 satisfying the equation are (A) 14 (B) 15 (C) 16 (D) None of these 19 Number of composite numbers less than 20 wh are rime with 4 satisfying the given equation is/are (A)2 (B) 3 (C) 4 (D) 5 Space For Rough Work s 4 3-1

Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 Number of integers less than 15 satisfying the equation are a. 14 b. 15 c. 16 d. None of these

Number of integrs less than 15 satisfying the equation 2^(|x+1|)-2^(x)=|2^(x)-1|+1 are (A) 14(B)15(C)16(D) none of these

The least value of x satisfying the equation 2^(2)x+1|-2^(x)=|2^(x)-1|+1 is 0(b)2(c)4(d) none of these

If a (A) x=0 (B) x=1 (C) x=2 (D) None of these.

If (x-1)/(x)=3, then the value of 1+(1)/(x^(2)) is (a) 9(b) 10(c)11 (d) None of these

For the equation |x^(2)|+|x|-6=0, the sum of the real roots is 1( b) 0(c)2 (d) none of these

The sum of values of x satisfying the equation (31+8sqrt(15))^(x^(2)-3)+1=(32+8sqrt(15))^(x^(2)-3) is 3 b.0 c.2 d.none of these

RESONANCE-DPP-QUESTION
  1. Find the product of the real roots of the equation, x^2+18x +30=2sqrt(...

    Text Solution

    |

  2. If x^(2)+x=1-y^(2) , where x gt 0, y gt 0, then find the maximum value...

    Text Solution

    |

  3. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 The least value of x s...

    Text Solution

    |

  4. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 Number of integers les...

    Text Solution

    |

  5. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 Number of composite nu...

    Text Solution

    |

  6. The remainder lfloor1+lfloor2+lfloor3+"……"+lfloor200 is divided by 14 ...

    Text Solution

    |

  7. Solve the equation 2^(|x+1|)-2^(x)=|2^(x)-1|+1

    Text Solution

    |

  8. Find the number of nonzero terms in the expansion of (1+3sqrt(2)x)^9+(...

    Text Solution

    |

  9. If n^(th) term of the series 3'1/3,2,1'3/7,1'1/9,"……" is (an+10)/(bn+c...

    Text Solution

    |

  10. If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4...

    Text Solution

    |

  11. In the expansion of (7^(1/3)+ 11^(1/9))^6561, the number of terms free...

    Text Solution

    |

  12. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  13. In the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the binom...

    Text Solution

    |

  14. Prove that difference of squares of two distinct odd natural numbers i...

    Text Solution

    |

  15. If Pa n dQ are sum and product respectively of all real values of x sa...

    Text Solution

    |

  16. The set of all values of ' x ' which satisfies the inequation |1-(|x|)...

    Text Solution

    |

  17. Find the solution of the inequality 2log(1/4)(x+5)>9/4log(1/(3sqrt(3))...

    Text Solution

    |

  18. The simultaneous equations, y=x+2|x|& y=4+x-|x| have the solution set ...

    Text Solution

    |

  19. The number of times the digit 3 will be written when listing the in...

    Text Solution

    |

  20. If m denotes the number of 5 digit numbers if each successive digits a...

    Text Solution

    |