Home
Class 12
MATHS
The number 2^(2log2(3^(log3 4))) simplif...

The number `2^(2log_2(3^(log_3 4)))` simplified as : 12 (b) 16 (c) 24 (d) 72

Text Solution

AI Generated Solution

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

The number N=2^(log_(2)3log_(3)4*log_(4)5.......log_(99)100) simplifies to

The number of solution of x^(log_(x)(x+3)^(2))=16 is 0 (b) 1(c)2(d)oo

Number of value(s) of x satisfying the equation log_2 (log_3 (x^2)) =1 is/are (A) 0 (B) 1 (c) 2 (D) 3

The number N=(1+2log_(3)2)/((1+log_(3)2)^(2))+(log_(6)2)^(2) when simplified reduces to:

The number of solution of log_4(x-1)=log_2(x-3) is (A) 3 (B) 5 (C) 2 (D) 0

The number of solutions of log_(4)(x-1)=log_(2)(x-3) is (2001,2M)3(b)1(c)2(d)0

The value of (1+2log_(3)2)/((1+log_(3)2)^(2))+(log_(6)2)^(2) is 2(b)3(c)4(d)1

log_(3)(1+(1)/(3))+log_(3)(1+(1)/(4))+log_(3)(1+(1)/(5))+...+log_(3)(1+(1)/(242)) when simplified has the value equal to: 2 (b) 4 (c) 6 (d) log _(2)16

Simplify: 2^((log)_(3)5)-5^((log)_(3)2)

BANSAL-LOGARITHM-All Questions
  1. The number of N=6-(6(log)(10)2+(log)(10)31) lies between two successi...

    Text Solution

    |

  2. If 2^a =7^b then number of ordered pairs (a, b) of real numbers is

    Text Solution

    |

  3. The number 2^(2log2(3^(log3 4))) simplified as : 12 (b) 16 (c) 24 (d)...

    Text Solution

    |

  4. If log2log3log4log5A=x, then the value of A is (a) 120^x (b) 2^(60 x...

    Text Solution

    |

  5. Suppose (log)a2=m ,(log)a3=r , (log)a5=s and (log)a 11=tdot The value ...

    Text Solution

    |

  6. If x=3 , then log4(2log3(1+log2(1+3log3x))) is equal to

    Text Solution

    |

  7. 3^[log3logsqrtx]-logx+log^2x-3=0

    Text Solution

    |

  8. Solve following log equation x^((logx+5)/3)=10^(5+logx)

    Text Solution

    |

  9. Solve following log equation x^((logx+7)/4)=10^(logx+1)

    Text Solution

    |

  10. Solve following log equation log^2x-3logx=log(x^2)-4

    Text Solution

    |

  11. Solve following log equation (log)(1//3)x-3\ sqrt((log)(1//3)x)+2=0

    Text Solution

    |

  12. Solve the value of x : 2(logxsqrt(5))^2-3logx sqrt(5)+1=0

    Text Solution

    |

  13. log^2(100x)+log^2(10x)=14+log(1/x)

    Text Solution

    |

  14. The sum sqrt(5/4+sqrt(3/2))+sqrt(5/4-sqrt(3/2)) is equal to

    Text Solution

    |

  15. For N gt 1, then product 1/(log2N)* 1/(logN8)* 1/(log(32)N)*1/(logN 12...

    Text Solution

    |

  16. If p is the smallest value of x satisfying the equation 2^x+(15)/(...

    Text Solution

    |

  17. The sum of two numbers a and b is sqrt(18) and their difference is...

    Text Solution

    |

  18. The value of (log(10)2)^3+log(10)8log(10)5+(log(10)5)^3 is ..............

    Text Solution

    |

  19. Let N=10^(log2-2 log(log10^3)+log(log10^6)^(2)) where base of the loga...

    Text Solution

    |

  20. If x=(sqrt(10)+sqrt(2))/2\ and\ y=(sqrt(10)-sqrt(2))/2 then the value ...

    Text Solution

    |