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e is approxinately 2.71828, and it is used in logarathims. Natural logs, though. A logarathim is an exponent.

Regular logs have a base of 10, but natural logs use e as its base.

Natural logs were discovered by John Napier in the 1700s.

e represents a number like $${\mathtt{\pi}}$$ is a special number. Both these numbers have very special properties.

 $${\mathtt{e}} = {\mathtt{2.718\: \!281\: \!828\: \!459\: \!045\: \!2}}$$

This is an approximation, e is an irrational number so it cannot be written exactly as a fraction or a decimal.