Home
Class 14
MATHS
log(2)7 is:...

`log_(2)7` is:

A

an interger

B

a prime number

C

a rational number

D

an irrational number

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    ARIHANT SSC|Exercise EXERCISE LEVEL 1|50 Videos
  • LOGARITHM

    ARIHANT SSC|Exercise EXERCISE LEVEL 2|19 Videos
  • LOGARITHM

    ARIHANT SSC|Exercise EXERCISE LEVEL 2|19 Videos
  • LINEAR EQUATIONS

    ARIHANT SSC|Exercise Higher Skill Level Questions|7 Videos
  • MENSURATION

    ARIHANT SSC|Exercise TEST OF YOUR LEARNING|18 Videos

Similar Questions

Explore conceptually related problems

The value of 2^("log"_(3)7) - 7^("log"_(3)2) 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)

The value of ((log_(2)9)^(2))^((1)/(log_(2)(log_(2)9)))xx(sqrt(7))^((1)/(log_(4)7)) is .......... .

The value of ((log_(2)9)^(2))^(1/(log_(2)(log_(2)9)))xx(sqrt7)^(1/(log_(4)7)) is ________.

The value of ((log_(2)9)^(2))^(1/(log_(2)(log_(2)9))) xx (sqrt(7))1/(log_(4)7) is ....................

If "log"_(2) 7 = x , then x is:

Prove that log_(3)5 and log_(2)7 are both irrational

If log_(2)(7)=a and log_(3)(2)=b, then the value of log_(14)(84) is

(a) Which is smaller ? 2 or (log_(pi) 2 + log_(2) pi) . (b) Prove that log_(3) 5 " and " log_(2) 7 are both irrational.

ARIHANT SSC-LOGARITHM -INTRODUCTORY EXERCISE- 16.1
  1. if log(10)x = 1.9675, then the value of log(10)(100x) is:

    Text Solution

    |

  2. If 5^(x) = (0.5)^(y) = 1000, then the value of (1/x - 1/y) is:

    Text Solution

    |

  3. If 1/2 log x + 1/2 log y + log2 = log(x+y), then:

    Text Solution

    |

  4. If p = log(3)5 and q= log(17) 25 which one of the following is correct...

    Text Solution

    |

  5. If x^(2) + 4y^(2) =12 xy, then log (x+2y) is equal to

    Text Solution

    |

  6. The value of (2^(log3^(7) - 7^(log (3)2))) is

    Text Solution

    |

  7. 1/(log(2)a) + 1/(log(4)a) + 1/(log(8)a)+….. To n terms =(n(n+1))/k, th...

    Text Solution

    |

  8. The value of (log tan 1^(@) + log tan 2^(@)+……. + log tan 89^(@)) is

    Text Solution

    |

  9. The value of x for which log(9)x - log(9) (x/10 + 1/9) is:

    Text Solution

    |

  10. If (x^(4) - 2x^(2)y^(2) + y^(4))^(a-1) =(x-y)^(2a) (x+y)^(-2), then th...

    Text Solution

    |

  11. log(2)7 is:

    Text Solution

    |

  12. log(y)x=?

    Text Solution

    |

  13. The value of log(10)2 + 16 log(10)(16/15) + 12 log(10)(25/24) + 7 log(...

    Text Solution

    |

  14. if log(10)x=a, log(10)y=b and log(10)z=c, then antilog (pa + qb - rc)=...

    Text Solution

    |

  15. log(10) a^(p).b^(q).c^( r)=?

    Text Solution

    |

  16. If a,b,c are in GP then log(10)a, log(10)b, log(10)c are in

    Text Solution

    |

  17. If log(10)x, log(10)y, log(10)z are in AP, then x,y,z are in:

    Text Solution

    |

  18. If a,b,c are in GP then 1/(log(a)x), 1/(log(b)x), 1/(log( c)x) are in:

    Text Solution

    |

  19. if log(x-1) + log(x+1) = 3 log2, then x is equal to:

    Text Solution

    |

  20. If a,b,c are three consecutive integers, then log(ac+1) has the value:

    Text Solution

    |