## Laws of Logarithms questions

Question 1 |

3 | |

1 | |

2 | |

0 |

Question 2 |

If log

_{10}2 = 0.30103, log_{10}3 = 0.47712, the number of digits in 3^{12}x 2^{8 }is8 | |

7 | |

9 | |

10 |

Question 3 |

log

_{4}18 isA prime number | |

A rational number | |

None of these | |

An irrational number |

Question 4 |

The number of real values of the parameter

*k*for which (log_{16}x)^{2}– log_{16}x + log_{16}k = 0 with real coefficients will have exactly one solution isNone of these | |

4 | |

2 | |

1 |

Question 5 |

If x = log

_{b}a, y = log_{c}b, z = log_{a}c, then*xyz*is**Related:** Physics Optics objective questions

0 | |

None of these | |

3 | |

1 |

Question 6 |

If a = log

_{24}12, b = log_{26}24 and c = log_{48}36 then 1+*abc*is equal to2bc | |

0 | |

2ab | |

2ac |

Question 7 |

If

*a, b, c*are distinct positive numbers, each different from 1, such that [log_{b}a log_{c}a – log_{a}a] + [log_{a}b log_{c}b – log_{b}b] + [log_{a}c log_{b }c – log_{c}c] = 0, then*abc =*None of these | |

3 | |

1 | |

2 |

Question 8 |

log ab – log | b | =

log a | |

log | a | | |

None of these | |

–log a |

Question 9 |

If log

_{10}^{ 3}= 0.477, the number of digits in 3^{40}is19 | |

21 | |

18 | |

20 |

Question 10 |

If 3

^{x}– 3^{x – 1}= 6, then x^{x }is equal to2 | |

None of these | |

4 | |

9 |

Question 11 |

The number log

_{2}7 isAn irrational number | |

A prime number | |

An integer | |

A rational number |

Question 12 |

If x = log

_{5}(1000) and y = log_{7}(2058) thenx > y | |

x = y | |

x < y | |

None of these |

There are 12 questions to complete.

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