Log Conversions & Properties

Front

Logarithms are the inverses of ___________.

Back

Exponential Functions

Front

Simplify: log₄1 =

Back

0

Front

Simplify: log 0 =

Back

DNE (Does Not Exist)

Front

Simplify: log₅125 =

Back

3

Front

Simplify: ln e⁵ =

Back

5

Front

Definition: Logarithm

Back

The power to which a number must be raised to obtain another number.

Front

Property: logₐ(a^b) =

Back

b

Front

Property: logₐ(b) + logₐ(c) =

Back

logₐ(bc) (Product Property)

Front

Property: logₐ(b) - logₐ(c) =

Back

logₐ(b/c) (Quotient Property)

Front

Definition: Natural Logarithm (ln)

Back

The logarithm to the base e, where e is approximately 2.718.