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Math Calculators ▶ Log Base 2 Calculator

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**Table of Content**

The Log Base 2 Calculator calculates the log of base 2 of a number number “x”. The number is generally written as log2(x) or lb(x).

Log to the base 2 is also known as binary logarithm and it has a base of 2. The binary logarithm x is the power to which the number 2 must be raised to determine the value of x. You need to calculate the log to base 2 for finding the binary logarithm of any number. Moreover, another number system that helps you to understand complicated log with base 16 is the hex numeral technique that can be resolved with the assistance of a hex calculator.

For example, the binary log of 1 is “0”, and the binary log of 2 is “1”. The log of base 2 is commonly used in computer science and in information technology. The log base 2 calculator can be used to compute the values of the log to base 2 or any given value.

Log_{2}(x) |
Subscription | Notation | Value |
---|---|---|---|

Log_{2}(1) |
log base 2 of 1 | lb(1) | 0 |

Log_{2}(2) |
log base 2 of 2 | lb(2) | 1 |

Log_{2}(3) |
log base 2 3 | lb(3) | 1.58496 |

Log_{2}(4) |
log base 2 of 4 | lb(4) | 2 |

Log_{2}(5) |
log base 2 of 5 | lb(5) | 2.321928 |

Log_{2}(6) |
log base 2 of 6 | lb(6) | 2.584963 |

Log_{2}(7) |
log base 2 of 7 | lb(7) | 2.807355 |

Log_{2}(8) |
log base 2 8 | lb(8) | 3 |

Log_{2}(9) |
log base 2 of 9 | lb(9) | 3.169925 |

Log_{2}(10) |
log base 2 of 10 | lb(10) | 3.321928 |

Log_{2}(11) |
log base 2 of 11 | lb(11) | 3.459432 |

Log_{2}(12) |
log base 2 of 12 | lb(12) | 3.584963 |

Log_{2}(13) |
log base 2 of 13 | lb(13) | 3.70044 |

Log_{2}(14) |
log base 2 of 14 | lb(14) | 3.807355 |

Log_{2}(15) |
log base 2 of 15 | lb(15) | 3.906891 |

Log_{2}(16) |
log base 2 of 16 | lb(16) | 4 |

Log_{2}(17) |
log base 2 of 17 | lb(17) | 4.087463 |

Log_{2}(18) |
log base 2 of 18 | lb(18) | 4.169925 |

Log_{2}(19) |
log base 2 of 19 | lb(14) | 4.247928 |

Log_{2}(20) |
log base 2 of 20 | lb(14) | 4.321928 |

You can calculate log base 2 of any value by the log base 2 calculator, as the binary values of the log are commonly utilized in information technology.

You can calculate log base 2 from the log of base 10 by the following formula:

log_{2 }**x** = [( log_{10 }**x**)/( log_{10 }**2**)]

The generalized formula for changing the base from one form to another is:

log_{a }**x** = [( log_{b }**x**)/( log_{b }**2**)]

You can convert the log of base 10 into the log of base 2 by the above the mentioned formula. The log2 calculator can be used to find the log to the base 2 of any term.

For the accurate calculation of the log of base 2 follow the instructions:

**Input:**

- Enter the value of the “x”
- Hit the calculate button

**Output:**

- Log to the base 2

From the source of Wikipedia: Binary Logarithm, Definition and Properties

From the source of shorttutorials.com: log of 2, Log2 Calculation