Home
Class 14
MATHS
The number log2 7 is :...

The number `log_2 7` is :

A

An integer

B

A rational number

C

An irretional number

D

A prime number

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEM

    DISHA PUBLICATION|Exercise Expert Level |32 Videos

  • NUMBER SYSTEM

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

  • NUMBER SYSTEM

    DISHA PUBLICATION|Exercise Practice Exercise (Foundation Level)|65 Videos

  • MOCK TEST 2

    DISHA PUBLICATION|Exercise Multiple Choice Questions|20 Videos

  • PERCENTAGES

    DISHA PUBLICATION|Exercise PRACTICE EXERCISE (TEST YOURSELF)|15 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.

For x=log_2 5 , the number log_10(2^x-1) is the AM of log_10 2 and log_10 (2^x+3) .

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

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

What is the number of digits in 7^(25), 8^(23) , and 9^(20) respectively ? [Given log_10 2 = 0.301, log_10 3 = 0.477, log_10 7 = 0.845 ]

If log2=0.30103, find the number of digits in 2^(56).

If log2 = 0.301 then find the number of digits in 2^(1024) .

DISHA PUBLICATION-NUMBER SYSTEM-Standard Level
  1. Find the remainder when 7^(99) is divisible by 2400.

    Text Solution

    |

  2. A number N when factorized can be written as N=p(1)^(4)xxp(2)^(3)xxp(3...

    Text Solution

    |

  3. The number log2 7 is :

    Text Solution

    |

  4. Which of the following in true ?

    Text Solution

    |

  5. 94^(3)-23^(3)-71^(3) is atleast divisible by

    Text Solution

    |

  6. Find the smallest nutural number n that satisfies the following statem...

    Text Solution

    |

  7. How many whole numbers between 100 and 800 contain the digit 2?

    Text Solution

    |

  8. p, q and r are three non-negative integers such that p+q+r=10. The max...

    Text Solution

    |

  9. Let a, b, c, d and e be integers such that a=6b=12c,and2b=9d=12e. Then...

    Text Solution

    |

  10. If x=(16^(3)+17^(3)+18^(3)+19^(3)), then x divided by 70 leaves a rema...

    Text Solution

    |

  11. Find the total number of prime factors in 2^(17) xx 6^(31) xx 7^(5) ...

    Text Solution

    |

  12. The digits of a three-digit number A are written in the reverse order ...

    Text Solution

    |

  13. If N=1!+2!+3!-4!+….+47!-48!+49!, then what is the unit digit of N^(N) ...

    Text Solution

    |

  14. The digit of a 3-digit number in Base 4 get reversed when it is conver...

    Text Solution

    |

  15. Find the remainder when 73xx75xx78xx57xx197 is divided by 34.

    Text Solution

    |

  16. What is the ten's place digit of 12^(42) ?

    Text Solution

    |

  17. Find the HCF of (3^(125)-1)and(3^(35)-1).

    Text Solution

    |

  18. A computer program was tested 300 times before its release. The testin...

    Text Solution

    |

  19. In the figure, number in any cell is obtained by adding two numbers in...

    Text Solution

    |

  20. A natural number when increased by 50% has its number of factors uncha...

    Text Solution

    |