Home
Class 9
MATHS
Solve : (iv) x^(log(2)a)+a^(log(2)x)=2...

Solve :
(iv) `x^(log_(2)a)+a^(log_(2)x)=2a^(2)`.

Text Solution

Verified by Experts

The correct Answer is:
`x = 4`
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

Solve : (iii) 4^(log_(9^3))+9^(log_(2^4))=10^(log_(x^83))

Prove that : (iv) a^(log_(a^2)x) xx b^(log_(b^2)y) xx c^(log_(c^2)z) = sqrt(xyz)

Solve : (iv) log_(10)x - log_(10)sqrt(x) = 2/(log_(10)x)

Solve : (v) 2log_(2)log_(2)x+log_(1/2)log_(2)(2sqrt(2)x) = 1 .

Solve (log)_x2(log)_(2x)2=(log)_(4x)2.

Solve x^(log_(4) x)=2^(3(log_(4)x+3) .

Solve : log_(8)x+log_(4)x+log_(2)x=11

Solve for x: log_(4) log_(3) log_(2) x = 0 .

Prove that : (vi) log_(a)x + log_(a^2)x^(2) + log_(a^3)x^(3) + ………….+ log_(a^n)x^(n) = log_(a)x^(n)

Solve x^((log)_y x)=2a n dy^((log)_x y)=16

CALCUTTA BOOK HOUSE-LOGARITHM-Exercise - 7 (Long-answer type questions)
  1. If log((x+y)/2) = 1/3{log x + logy + log(x+y)}, then prove that (x^2)/...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If y = a^(1/(1-log(a)x)) and z = a^(1/(1-log(a)y)), then show that x =...

    Text Solution

    |

  7. If x = log(c ) b + log(b)c , y=log(a)c + log(c ) a, z=log(b)a+log(a)b,...

    Text Solution

    |

  8. If a,b,c be three such positive numbers (none of them is 1) that (log(...

    Text Solution

    |

  9. If x = log(2a)a, y = log(3a)2a , z = log(4a)3a, then show that xyz + 1...

    Text Solution

    |

  10. If a > 0, c > 0, b = sqrt(ac), ac != 1 and N > 0, then prove that (log...

    Text Solution

    |

  11. If (a(b+c-a))/(loga) = (b(c+a-b))/(logb) = (c(a+b-c))/(logc), then pro...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If y = (e^(x)-e^(-x))/(e^(x)+e^(-x)) then prove that y = (e^(2x)-...

    Text Solution

    |

  15. Solve : (i) x^(log(10)x)= 100x.

    Text Solution

    |

  16. Solve : (ii) log(x)2log(x/16)2 = log(x/64)2.

    Text Solution

    |

  17. Solve : (log(2)(x-4)+1)/(log(sqrt2)(sqrt(x+3)-sqrt(x-3))) = 1.

    Text Solution

    |

  18. Solve : (iv) x^(log(2)a)+a^(log(2)x)=2a^(2).

    Text Solution

    |

  19. Solve : (v) 2log(2)log(2)x+log(1/2)log(2)(2sqrt(2)x) = 1.

    Text Solution

    |

  20. Solve : (vi) 6^(3-4x).4^(x+5)=8, given , log 2 = 0.3010, log 3 = 0.4...

    Text Solution

    |