Home
Class 11
MATHS
If (log)(10)2=0. 30103 ,(log)(10)3=0. 47...

If `(log)_(10)2=0. 30103 ,(log)_(10)3=0. 47712 ,` then find the number of digits in `3^(12)*2^8`

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos
  • PERMUTATIONS AND COMBINATIONS

    CENGAGE PUBLICATION|Exercise All Questions|430 Videos

Similar Questions

Explore conceptually related problems

If log_(10) 2 = 0.3010 and log_(10) 3 = 0.477 , then find the number of digits in the following numbers: (a) 3^(40)" "(b) 2^(32) xx 5^(25)" (c) 24^(24)

If log_(10)2=0.30103, log_(10)3=0.47712 and log_(10)7=0.84510 find the values of log_(10) 45

If log_(10)2=0.30103, log_(10)3=0.47712 and log_(10)7=0.84510 find the values of log_(10)105

If log_(10)2=0.30103 find the value of log_(5)32

If 1/(log_(x)10) = 2/(log_(0.5)10) , then find the value of x.

If log_(e)2.log_(x)25 = log_(10)16.log_(e )10 , then find the value of x.

Given log_(10)2=0.30103 , log_(10)e=0.43429, find the value of log_(e )(125)+log_(3)81+e^(log_(e )2)

There are 3 number a, b and c such that log_(10) a = 5.71, log_(10) b = 6.23 and log_(10) c = 7.89 . Find the number of digits before decimal in (ab^(2))/c .

If log2=0.3010, log 3=0.4771 , log 7=0.8451 find the values of log 45

If log2=0.3010, log 3=0.4771 , log 7=0.8451 find the values of log108

CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. Using logarithms, find the value of 6.45 x 981.4

    Text Solution

    |

  2. In the 2001 census, the population of India was found to be 8. 7x10^7d...

    Text Solution

    |

  3. If (log)(10)2=0. 30103 ,(log)(10)3=0. 47712 , then find the number of...

    Text Solution

    |

  4. If a=(log)(12)18 , b=(log)(24)54 , then find the value of a b+5(a-b)do...

    Text Solution

    |

  5. Solve the equations for x and y:(3x)^(log3)=(4y)^(log 4), 4 ^(log x) ...

    Text Solution

    |

  6. The real solutions of the equation 2^(x+2). 5^(6-x)=10^(x^2) is/are 1 ...

    Text Solution

    |

  7. If (log)k xdot(log)5k=(log)x5,k!=1,k >0, then x is equal to

    Text Solution

    |

  8. If p,q in N" satisfy the equation "x^(sqrtx) = (sqrtx)^(x), then

    Text Solution

    |

  9. Solution set of the inequality (log)(0. 8)((log)6(x^2+x)/(x+4))<0 is

    Text Solution

    |

  10. Which of the following is not the solution of (log)3(x^2-2)<(log)3(3/2...

    Text Solution

    |

  11. The true solution set of inequality (log)((x+1))(x^2-4)>1 is equal to ...

    Text Solution

    |

  12. Solve the following equation of x :2(log)x a+(log)(a x)a+3(log)(a^2x)a...

    Text Solution

    |

  13. The x , y , z are positive real numbers such that (log)(2x)z=3,(log)(5...

    Text Solution

    |

  14. Which of the following, when simplified, reduces to unity?

    Text Solution

    |

  15. If (log)a x=b for permissible values of a and x , then identify the ...

    Text Solution

    |

  16. The value of x satisfying x+log10(1+2^x)=x log10 5+log10 6 is

    Text Solution

    |

  17. Solve: (1/2)^(log^(10a^2))+2>3/(2^((log)(10)(-a)))

    Text Solution

    |

  18. Write the characteristic of each of the following numbers by using ...

    Text Solution

    |

  19. Solve: (log)(0. 1)((log)2((x^2+1)/(x-1))<0

    Text Solution

    |

  20. Solve: (x-1)/((log)3(9-3^x)-3)lt=1.

    Text Solution

    |