# How do you calculate Log (1024)?

Sep 1, 2016

$\log \left(1024\right) = 10 \log \left(2\right) \approx 3.0103$

#### Explanation:

$1024 = {2}^{10}$

$\log \left(2\right) \approx 0.30103$ is a very good approximation.

Hence we have:

$\log \left(1024\right) = \log \left({2}^{10}\right) = 10 \log \left(2\right) \approx 10 \cdot 0.30103 = 3.0103$