Home
Class 11
MATHS
Prove that: 2^((sqrt((log)a4sqrt(a b)+(l...

Prove that: `2^((sqrt((log)_a4sqrt(a b)+(log)_b4sqrt(a b))-sqrt((log)_a4sqrt(b/a)+(log)_b4sqrt(a/b))))dotsqrt((log)_a b)={2ifbgeqa >1 and 2^(log_a(b)` if ` 1 `

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

  • PERMUTATIONS AND COMBINATIONS

    CENGAGE ENGLISH|Exercise All Questions|444 Videos

Similar Questions

Explore conceptually related problems

2^((sqrt(log_a(ab)^(1//4)+log_b(ab)^(1//4))-sqrt(log_a(b/a)^(1//4)+log_b(a/b)^(1//4))) sqrt(log_a(b)) =

2^((sqrt(log_a(ab)^(1/4)+log_b(ab)^(1/4))-sqrt(log_a(b/a)^(1/4)+log_b(a/b)^(1/4)))sqrt(log_a(b)) =

Prove that ((log)_a N)/((log)_(a b)N)=1+(log)_a b

int_(1)^(7)(log sqrt(x))/(log sqrt(8-x)+log sqrt(x))dx=

Prove that: log_3log_2log_(sqrt(5))(625)=1

Evaluate: log_(a^2) b-:log_sqrt(a)(b)^2

The value 4^(5log_(4sqrt(2))(3-sqrt(6))-6log_8(sqrt(3)-sqrt(2))) is

Prove that log_3log_2log_(sqrt3) 81=1

Y=log(4/(sqrt(x+2)+sqrt(2-x)))

If (log)_a3=2 and (log)_b8=3 , then prove that (log)_a b=(log)_3 4.

CENGAGE ENGLISH-LOGARITHM-All Questions
  1. Find the value of 81^((1//log5 3))+(27^(log9 36)) + 3^((4/(log7 9))

    Text Solution

    |

  2. Find the value of (1/(49))^(1+(log)7 2)+5^(-1(log)((1/5))(7))

    Text Solution

    |

  3. Prove that: 2^((sqrt((log)a4sqrt(a b)+(log)b4sqrt(a b))-sqrt((log)a4sq...

    Text Solution

    |

  4. Prove that (2^((log)2 1/4x)-3^((log)(27)(x^2+1)^3)-2x) /(7^(4(log)(49...

    Text Solution

    |

  5. Solve (log)4 8+(log)4(x+3)-(log)4(x-1)=2.

    Text Solution

    |

  6. Which of the following pairs of expression are defined for the same se...

    Text Solution

    |

  7. Solve (log)2(3x-2)=(log)(1/2)x

    Text Solution

    |

  8. Solve log(-x)=2log(x+1)dot

    Text Solution

    |

  9. Solve: (log)2(4.3^x-6)-(log)2(9^x-6)=1.

    Text Solution

    |

  10. Solve 2^(x+2)27^(x//(x-1))=9

    Text Solution

    |

  11. Suppose x , y ,z=0 and are not equal to 1 and logx+logy+logz=0. Find t...

    Text Solution

    |

  12. If (log)(12)27=a , then find (log)6 16int e r m sofa

    Text Solution

    |

  13. If y^2=x z and a^x=b^y=c^z , then prove that (log)ab=(log)bc

    Text Solution

    |

  14. Simplify: 1/(1+(log)a b c)+1/(1+(log)b c a)+1/(1+(log)c a b)

    Text Solution

    |

  15. If a^x=b ,b^y=c ,c^z=a , then find the value of x y zdot

    Text Solution

    |

  16. Find the value of ((log)3 4)((log)4 5)((log)5 6)((log)6 7)((log)7 8)((...

    Text Solution

    |

  17. y=2^(1/((log)x4), then find x in terms of y.

    Text Solution

    |

  18. If n >1,t h e np rov et h a t 1/((log)2n)+1/((log)3n)++1/((log)(53)n)...

    Text Solution

    |

  19. What is logarithm of 32 root(5) 4" to the base "2sqrt2?

    Text Solution

    |

  20. Which is greater: x=(log)3 5ory=(log)(17)25 ?

    Text Solution

    |