Home
Class 9
MATHS
If log(a)M = (logb M) xx P, then express...

If `log_(a)M = (log_b M) xx P`, then express P in terms of a and b.

Text Solution

Verified by Experts

The correct Answer is:
`log_(a)b`
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

If 3+log_(10)x = 2log_(10)y , then express x in terms of y .

If 1/2 log_(3)M + 3log_(3)N = 1 , then express M in terms of N.

If 1 + log_(10)a = 2log_(10)b , then express a in terms of b^2 .

If P(A | B) = a and P(B) = b, then express P(B - A) in terms of a and b.

If log_(b) n = 2 and log_(n) 2b = 2 , then find the value of b.

If log_(7) 2 = m , then find log_(49) 28 in terms of m.

If a = log_(3)5, b = log_(17)25 , then show that a > b.

If log_e((a+b)/2)=1/2(log_e a+log_e b), then find the relation between a and b dot

If log(a+b+c) = log a + log b + log c , then prove that log ((2a)/(1-a^(2))+(2b)/(1-b^(2))+(2c)/(1-c^(2))) = log(2a)/(1-a^(2)) + log (2b)/(1-b^(2)) + log(2c)/(1-c^(2)) .

If log_a(ab)=x then log_b(ab) is equals to

CALCUTTA BOOK HOUSE-LOGARITHM-Exercise - 7 (Long-answer type questions)
  1. If log(6)15 = alpha, log(12)18= beta and log(25)24 = gamma, then prove...

    Text Solution

    |

  2. If log(12)18 = x and log(24)54 = y, then show that xy + 5(x-y) = 1

    Text Solution

    |

  3. If log(a)M = (logb M) xx P, then express P in terms of a and b.

    Text Solution

    |

  4. If 1/2 log(3)M + 3log(3)N = 1, then express M in terms of N.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |