Home
Class 12
MATHS
If log2=0.301 and log3=0.477, find the n...

If log2=0.301 and log3=0.477, find the number of integers in `5^(200)`

Text Solution

Verified by Experts

The correct Answer is:
140
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|6 Videos

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|5 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

If log2=0.301 and log3=0.477, find the number of integers in 6^(20)

If log2=0.301 and log3=0.477, find the number of integers in (ii) 6^(20)

If log2=0.301 and log3=0.477, find the number of integers in the number of zeroes after the decimal is 3^(-500) .

If log2=0.301 and log3=0.477 , find the number of digits in: (3^15xx2^10)

If log2=0.3010andlog3=0.4771 , find the value of log 5

If log2=0.3010andlog3=0.4771 , find the value of log 6

If log2=0.301 and log3=0.477, find the value of log(3.375).

If log2=0. 30101 ,\ log3=0. 47712 , then the number of digits in 6^(20) is 15 b. 16 c. 17 d. 18

If log2=0.3010andlog3=0.4771 , find the value of logsqrt(24)

Given ,log2=0.301 and log3=0.477, then the number of digits before decimal in 3^12times2^8 is

ARIHANT MATHS ENGLISH-LOGARITHM AND THEIR PROPERTIES-Exercise (Subjective Type Questions)
  1. If (lna)/(b-c)=(lnb)/(c-a)=(lnc)/(a-b), prove the following . a^(b^2+...

    Text Solution

    |

  2. Prove that log(10) 2" lies between " 1/4 and 1/3.

    Text Solution

    |

  3. If log2=0.301 and log3=0.477, find the number of integers in 5^(200)

    Text Solution

    |

  4. If log2=0.301 and log3=0.477, find the number of integers in 6^(20)

    Text Solution

    |

  5. If log2=0.301 and log3=0.477, find the number of integers in the numb...

    Text Solution

    |

  6. If log2=0.301 and log3=0.477, find the value of log(3.375).

    Text Solution

    |

  7. Find the least value of log2x-logx(0.125)for xgt1 .

    Text Solution

    |

  8. Find values of lamda for which 1/log3lamda+1/log4lamdagt2 .

    Text Solution

    |

  9. Solve the following equations. (i) x^(1+log10x)=10x

    Text Solution

    |

  10. Solve the following equation. log2(9+2^x)=3

    Text Solution

    |

  11. Solve the following equations. (iii) 2.x^(log(4)3)+3^(log4x)=27

    Text Solution

    |

  12. Solve the following equations. (iv) log4log3log2x=0

    Text Solution

    |

  13. Solve the following equations.x^((log10x+5)/3)=10^(5+log10x)

    Text Solution

    |

  14. Solve the following equations. (vi) log3(log9x+1/2+9^x)=2x

    Text Solution

    |

  15. Solve the following equations. (vii) 4^(log10x+1)-6^(log10x)-2.3^(lo...

    Text Solution

    |

  16. Solve the following equations. (viii) (log10(x-3))/log(10)(x^2-21)=1/...

    Text Solution

    |

  17. Solve the following equations. (ix) x^(log2x+4)=32

    Text Solution

    |

  18. Solve the following equations. (x) logax=x, where a=x^(logax)

    Text Solution

    |

  19. Solve the following equations. (xi) log(sqrt2sinx)(1+cosx)=2

    Text Solution

    |

  20. A rational number which is 50 times its own logarithm to the base 10, ...

    Text Solution

    |