1. y = logax y = ax a0 = 1 a1 = a y = axb y = abx
To undo log take exponential
y = ax y x
To undo exponential take log y x
(a,1)
loga1 = 0
(1,a)
a0 = 1
(0,1)
logaa = 1
(1,0)
a1 = a
Basic
log graph
Basic
exponential graph
log A + log B = log AB
log A - log B = log B A
log (A)n = n log A
Logs & Exponentials
Basic log rules
y = axb
Can be transformed into a graph of the form
y = abx
Can be transformed into a graph of the form
(0,C)
log y
log x
(0,C)
log y x
log y = x log b + log a
log y = b log x + log a
Y = mX + C
Y = mX + C
Y = (log b) X + C
Y = bX + C
C = log a
m = log b
C = log a
m = b