Key Terms
Linear
Adds a fixed amount each period Exponential: multiplies by a fixed factor each period
Example
F(x) = log_4(2x - 3) Set 2x - 3 > 0 2x > 3 x > 1.5 Domain: (1.5, infinity)
PARENT FUNCTION CHARACTERISTICS
F(x) = log_b(x)
Read it as
"log base b of x equals y" means "b raised to y equals x."
Logarithmic to exponential
Log_b(x) = y becomes b^y = x
Exponential to logarithmic
B^y = x becomes log_b(x) = y
Ask
"What exponent do I need on the base to get this number?"
Common logarithm
Base 10, written as log(x) with no base shown. Natural logarithm: base e, written as ln(x).