This simple tool computes the value of **Log _{2}(x)** for any value of x

**Formula**

**Log _{2}(x) = y**

**Background**

**What is Log Base 2?**

The **logarithm with base 2** is the inverse operation of raising 2 to a power. In mathematical terms:

**Log _{2}(x) = y ⟹ 2^{y} = x**

This means that **log base 2 of a number x** gives the power to which 2 must be raised to get x.

For example: **Log _{2}(8) = 3** since

**2**

^{3}=8Log base 2 is often called the **binary logarithm**, and it has significant importance in computer science, especially in measuring the time complexity of algorithms and working with binary systems.

**Log Base 2 Table of Values**

x | Log_{2}(x) |

1 | 0 |

2 | 1 |

3 | 1.58 |

4 | 2 |

5 | 2.32 |

6 | 2.58 |

7 | 2.81 |

8 | 3 |

9 | 3.17 |

10 | 3.32 |