Logarithms are a shortcut for exponents. There are patterns in logarithms that are fairly easy to understand. For example, the logarithm of 100 to base 10 is 2. The logarithm of 1000 to base 10 is 3.

Dušan D. Djordjević, Bogdan D. Djordjević, Arbitrary-order Fréchet derivatives of the exponential and logarithmic functions in real and complex Banach algebras, Filomat, Vol. 38, No. 21 (2024), pp.