Home
Class 12
MATHS
Let I=(log3 4+log2 9)^2-(log3 4-log2 9)^...

Let `I=(log_3 4+log_2 9)^2-(log_3 4-log_2 9)^2` and `m=(0.8)(1+9^(log_3 8))^(log_(65) 5)` then `(l+m)` is divisible by

Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    BANSAL|Exercise All Questions|436 Videos

  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Match the column|48 Videos

Similar Questions

Explore conceptually related problems

Let I=(log_(3)4+log_(2)9)^(2)-(log_(3)4-log_(2)9)^(2) and m=(0.8)(1+9^(log_(3)8))^(log_(655))then(l+m) is divisible by

If log_2 (log_3 (log_4 x))= 0, log_4 (log_3 (log_2 y))= 0 and log_3(log_4 (log_2z ))= 0, then the correct option is

If 4^(log_(9)(3))+9^(log_(2)(4))=10^(log_(x)(83)) then x=

If log_2(log_3(log_4(x)))=0, log_3(log_4(log_2(y)))=0 and log_4(log_2(log_3(z)))=0 then the sum of x,y,z is

If 4^("log"_(9)3) + 9^("log"_(2)4) = 10^("log"_(x)83), "then" x =

det [[log_ (2) 512, log_ (4) 3log_ (3) 8, log_ (3) 9]] xxdet [[log_ (2) 3, log_ (8) 3log_ (3) 4, log_ (3) 4 ]] =

|(log)_3 512(log)_4 3(log)_3 8(log)_4 9|xx|(log)_2 3(log)_8 3(log)_3 4(log)_3 4|= (a) 7 (b) 10 (c) 13 (d) 17

4^(log_(9)3)+9^(log_(2)4)=10^(log_(x)83), then x is equal to

BANSAL-LOGARITHM-All Questions
  1. The value of x satisfying the equation 2^(log2e^(In^5log 7^(log10^(log...

    Text Solution

    |

  2. he number N=(1/(log2pi)+1/(log6pi)) is less then

    Text Solution

    |

  3. Let I=(log3 4+log2 9)^2-(log3 4-log2 9)^2 and m=(0.8)(1+9^(log3 8))^...

    Text Solution

    |

  4. Let A denotes the value of log10 {(ab+sqrt((ab)^2-4(a+b)))/2}+log10 {l...

    Text Solution

    |

  5. If k^(log2 5)=16 , find the value of k^((log2 5)^2)

    Text Solution

    |

  6. For x , y in NN , if 3^(2x-y+1)=3^(y-2x+1)-8 and log6|2x^2y-x y^2|=1+...

    Text Solution

    |

  7. Let log2x+log4y+log4z=2; log9x+log3y+log9z=2; log(16)x+log(16)y+log4z...

    Text Solution

    |

  8. Find the value of x satisfying (log)(10)(2^x+\ x-41)=x\ (1-(log)(10)...

    Text Solution

    |

  9. Positive numbers x , y\ and\ z satisfy x y z\ =\ 10^(81) and (log(10)x...

    Text Solution

    |

  10. Find the number of integral solution of the equation log(sqrt(x))(x+|x...

    Text Solution

    |

  11. Suppose p , q ,r and s in NN satisfying the relation p+1/(q+1/(r+1/s))...

    Text Solution

    |

  12. If x and y are real numbers, such that 2log(2y-3x)=logx+logy, then fin...

    Text Solution

    |

  13. given log(10)(34.56) find the value of the following log(10)(3.456) , ...

    Text Solution

    |

  14. If log(10)2=0.3010 ,\ log(10)3=0.4771. Find the number of integers in ...

    Text Solution

    |

  15. If log(3)M=a1+b1 and log5M=a2+b2 where a1,a2 in N and b1,b2 in [0,1). ...

    Text Solution

    |

  16. If log(3x) 45 = log(4x) 40sqrt3 then find the characteristic of x^3...

    Text Solution

    |

  17. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  18. Prove that 2^{{sqrt(loga 4sqrtab + logb 4sqrtab)-sqrt((loga)4sqrt(b/a...

    Text Solution

    |

  19. Find the value of x satisfying the equation, sqrt((log3(3x)^(1/3)+logx...

    Text Solution

    |

  20. Given that log2 a=s, log4 b=5^2 and log(c^2) (8)=2/(s^3+1). Write log2...

    Text Solution

    |