Functions
REFERENCE

Properties of Exponentials (Hartig)

The following three algebraic rules help us understand how exponentials behave.

Relationship Between Logarithms and Exponents

The following examples illustrate the relationship between a logarithm statement and the equivalent exponential statement.

Logarithm Properties

The logarithm properties in the next list follow directly from the associated exponential property.

Similarly, the following logarithm rules are consequences of the three exponential rules that were listed earlier.

General Conversion Between Logs

The following equation can be used to compute logarithms in any base using the values of common logarithms.

The same relationship holds using natural logarithms, or base e logs:

Where Am I?

[Precalculus] * [Functions] * [Derivatives] * [Integrals] * [Series] * [Estimation and Optimization] * [Differential Equations] * [Discrete Dynamics/Sequences]