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

The number `log_2 7` is :

A

an integer

B

a rational nember

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

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos
  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 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=0.30103 , find the number of digits in 2^(56)

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. Mr. Oberaiappered in CAT for four consecutive years, but coincidently ...

    Text Solution

    |

  2. A thief somehow managed to steal some golden coins from a bank's cash ...

    Text Solution

    |

  3. The number log2 7 is :

    Text Solution

    |

  4. The product of n positive numbers is unity. Then their sum is:

    Text Solution

    |

  5. Let n > 1, be a positive integer. Then the largest integer m, such tha...

    Text Solution

    |

  6. Number of divisors of the form 4n + 2, n ge 0 which can divide 240 is ...

    Text Solution

    |

  7. If the integers m and n are chosen at random between 1 and 100, then a...

    Text Solution

    |

  8. If a, b, c, d are are positive real numbers such that a+b+c+d=2, then ...

    Text Solution

    |

  9. A corrupt country receives some educational grant from the UNESCO is t...

    Text Solution

    |

  10. In a far land of Lootokhao, an empowered group of ministers was suppos...

    Text Solution

    |

  11. A man sells an article at a gain of 25%. If he had bought it at 20% le...

    Text Solution

    |

  12. During a counter insurgency operation, three paramilitary troops A,B a...

    Text Solution

    |

  13. Is there any film you have seen or novel you have read with a similar ...

    Text Solution

    |

  14. Is there any film you have seen or novel you have read with a similar ...

    Text Solution

    |

  15. If you want to save money you must get rid of shopping.

    Text Solution

    |

  16. For every natural number a, b, c and x, if (x^a+1)(x^b+1)(x^c+1) is th...

    Text Solution

    |

  17. Find the value of k, if 15!=1k07674368000

    Text Solution

    |

  18. A monkey wants to climb up a pole of 50 metre height. He first climbs ...

    Text Solution

    |

  19. At which sum, the simple interest at the rate of 3¼ per annum will be ...

    Text Solution

    |

  20. The tens digit of the 2^(248) is :

    Text Solution

    |