Home
Class 9
MATHS
Prove that the value of log(10)3 lies in...

Prove that the value of `log_(10)3` lies in between `1/2 and 2/5`.

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CALCUTTA BOOK HOUSE|Exercise Exercise - 7 (Short-answer type questions)|10 Videos

  • LINEAR EQUATIONS IN REAL PROBLEMS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-5|31 Videos

  • POLYNOMIALS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.4|52 Videos

Similar Questions

Explore conceptually related problems

Prove that the value of log_(20)3 lies in between 1/2 and 1/3 .

Show that the value of log_(10)2 lies in between 1/4 and 1/3 .

Show that the value of log_(10)2 lies between 1/3 and 1/4

Prove that log_(10) 2lies between 1/3 and 1/4 .

Prove that 2/5 lt log_(10) 3 lt 1/2 .

If the equation y^2+x^2-10x+21=0 is satisfied by real values of x and y, prove that x lies between 3 and 7 and y lies between (-2) and 2.

Prove that, log_(2)2=1

Prove that 1/3<(log)_(10)3<1/2dot

Prove that 5costheta+3cos(theta+pi/3)+3 lies between -4a n d10.

Prove that, log_(5)25=2

CALCUTTA BOOK HOUSE-LOGARITHM-Exercise - 7 (Long-answer type questions)
  1. If 1/2 log(3)M + 3log(3)N = 1, then express M in terms of N.

    Text Solution

    |

  2. Prove that 1/(log2 pi) + 1/(log(6)pi) > 2.

    Text Solution

    |

  3. Prove that the value of log(10)3 lies in between 1/2 and 2/5.

    Text Solution

    |

  4. Prove that the value of log(20)3 lies in between 1/2 and 1/3.

    Text Solution

    |

  5. Prove that : (i) log(1^(1/5)+32^(1/5)+243^(1/5))=1/5(log1 + log 32 +...

    Text Solution

    |

  6. Prove that : (ii) log(1+2+3) = log1 + log2 + log3.

    Text Solution

    |

  7. Prove that : (iii) (yz)^(log(y/z))(zx)^(log(z/x))(xy)^(log(x/y)) = 1

    Text Solution

    |

  8. Prove that : (iv) a^(log(a^2)x) xx b^(log(b^2)y) xx c^(log(c^2)z) = ...

    Text Solution

    |

  9. Prove that : (v) p^(log(x)q) = q^(log(x)p)

    Text Solution

    |

  10. Prove that : (vi) log(a)x + log(a^2)x^(2) + log(a^3)x^(3) + ………….+ l...

    Text Solution

    |

  11. Prove that : (vii) log(sqrt a)b.log(sqrt(b))c.log(sqrt(c ))a = 8.

    Text Solution

    |

  12. Prove that : (viii) (log(a)x)/(log(ab)x) = 1+log(a)b.

    Text Solution

    |

  13. If x^(2)+y^(2)=z^(2), then prove that 1/(log(z-y)x) + 1/(log(z+y)x) = ...

    Text Solution

    |

  14. If a = log(12)m and b = log(18)m, then prove that log(3)2= (a-2b)/(b-2...

    Text Solution

    |

  15. If x^(2)+y^(2) = 6xy, then prove that 2log(x+y) = log x + logy + 3log2...

    Text Solution

    |

  16. If log((x+y)/2) = 1/3{log x + logy + log(x+y)}, then prove that (x^2)/...

    Text Solution

    |

  17. If a^(2-x).b^(5x) = a^(x+3).b^(3x), then show that x log (b/a) = 1/2 l...

    Text Solution

    |

  18. If (logx)/(y-z) = (logy)/(z-x) = (logz)/(x-y), then prove that (i) x...

    Text Solution

    |

  19. If (log x)/(y-z) = (log y)/(z-x) = (log z)/(x-y), then prove that xyz ...

    Text Solution

    |

  20. If (logx)/(ry-qz) = (log y)/(pz - rx) = (log z)/(qx - py), then prove ...

    Text Solution

    |