Logarithms Test

Zero Property

Identity Property

Inverse Property

Equality Property

Product Property

Quotient Property

Power Property

Exponential Function

an equation where the exponent includes a variable

Natural Logarithm

a logarithm with base e, written as ln

Exponential Decay

a process where a quantity decreases at a rate proportional to its current value

Logarithmic Function

the inverse operation of exponentiation. defined as the power to which the base number must be raised to get the given number

Common Logarithm

a logarithm with base 10, often written as log.

Exponential Growth

a process in which a quantity increases at a rate proportional to its current value

Change of Base Formula

parent function of a logarithmic function

y = log_b(x)

general form of a logarithmic function

y = a log_b(x-h)+k

what are the transformations for a logarithmic function?