Home
Class 12
MATHS
The number log(2) 7 is...

The number `log_(2) 7` is

A

an integer

B

a rational number

C

an irrational number

D

a prime number

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 2 (Level -I)|19 Videos
  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 2 (Level -II)|11 Videos
  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 4|4 Videos
  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 4 LEVEL - II|14 Videos
  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

Similar Questions

Explore conceptually related problems

Prove that number log_(2) 7 is an irrational number.

Prove that number log _(2)7 is an irrational number.

The number N=(1+2log_(3)2)/((1+log_(3)2)^(2))+log_(6)^(2)2 when simplified reduces to: a prime number an irrational number a real which is less than log_(3)pi a real which is greater than log _(7)6

The value of x for which the numbers log_3 2, log_3(2^x-5) and log_3(2^x- 7/2) are in A.P.=

The number of solutions of the equation log_((2x + 3)) ( 6x^(2) + 23 x + 21) + log_((3x + 7)) (4x^(2) + 12 x + 9) = 4 is

Which of the following numbers are positive/negative? log_(2)7( ii) log_(0.2)3 (iii) log_(1/3)((1)/(5))log_(4)3(v)log_(2)(log_(2)9)

Show that log_(2)(7) is an irrational number.

The number of roots of the equation 7.x^(log_(5)2)+2^(log_(5)x)=64

The number of real solution of the equation log_(10)(7x-9)^(2)+log_(10)(3x-4)^(2)=2 is

The number of values of x satisfying the equation log_(2)(9^(x-1)+7)=2+log_(2)(3^(x-1)+1) is :

MOTION-BASIC MATHEMATIC & LOGARITHM -Exercise - 1
  1. The greatest integer less than or equal to the number log2(15)xx log(...

    Text Solution

    |

  2. Anti logarithm of 0.75 to the base 16 has the value equal to

    Text Solution

    |

  3. The number log(2) 7 is

    Text Solution

    |

  4. The retio (2^(log(2^1/4)) a-3log27(a^2+1)^3-2a)/(7^(4log49 a-a-1) s...

    Text Solution

    |

  5. 1/(log(sqrt(bc))abc)+1/(log(sqrt(ca))abc)+1/(log(sqrt(ab))abc) has the...

    Text Solution

    |

  6. If 3^(2 log3 x)-2x-3=0, then the number of values of 'x' satisfying th...

    Text Solution

    |

  7. If logx log18 (sqrt2+sqrt8)=1/3. Then the value of 1000 x is equal to

    Text Solution

    |

  8. Number of real solution(s) of the equation |x-3|^(3x^2-10x+3)=1 is :

    Text Solution

    |

  9. Number of real solution of the equation sqrt(log(10)(-x)) = log(10) sq...

    Text Solution

    |

  10. Solve for x: log(4) log(3) log(2) x = 0.

    Text Solution

    |

  11. 2 log(4) (4 - x) = 4 - log(2) ( - 2 - x).

    Text Solution

    |

  12. log(10)^(2) x + log(10) x^(2) = log(10)^(2) 2 - 1

    Text Solution

    |

  13. Solve log(2).(x-1)/(x-2) gt 0 or (x-1)/(x-2) gt 2^(0) .

    Text Solution

    |

  14. Solve (log)(0. 04)(x-1)geq(log)(0. 2)(x-1)

    Text Solution

    |

  15. Solve log(2)(x-1) gt 4.

    Text Solution

    |

  16. Solve log(x+3)(x^(2)-x) lt 1.

    Text Solution

    |

  17. How many digits are contained in the number 2^(75) ?

    Text Solution

    |

  18. Let m be the number of digits in 3^(40) and p be the number of zeroes...

    Text Solution

    |

  19. Given that log(10)(2) = 0.3010..., number of digits in the number 2000...

    Text Solution

    |

  20. If P is the number of natural numbers whose logarithms to the base 10 ...

    Text Solution

    |