This video from "maths tv" explains the basics of logarithms (0:01). It introduces how logarithms are written and their relationship to exponents (0:10). The video defines the components of a logarithm: x as the number, b as the base, and y as the exponent (0:18-0:24). It then demonstrates how to convert an exponential equation (x = b^y) into its logarithmic form (0:28-1:21), and vice-versa, highlighting that a common base used is base 10 (1:04).