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log(AB)
log A + log B
lne =
1
log is undefined at
negative or 0
log(A/B)
logA - logB
log(Ap)
pLogA
log(10x)
x
10logx
x
log1
0 (bc 100=0)
ln 1
0
elnx
x
ln(AB)
lnA +lnB
ln(A/B)
lnA-lnB
ln(Ap)
plnA
lnex
x
non continuous equation
P(t)=P0at
rate of Increase/decrease for non continuous
1 - a
Continuous equation
P(t)=P0ekt
Continuous rate of change
decimal (negative or positive)
How to know if inverse function
Horizontal line test
Inverse proof
f-1(f(x)) = f(f-1(x)) = x
Horizontal shift
f (x+h) (plus is left, negative is right)
Vertical shift
f(x) + h (plus is up, negative is down)
Reflection across y-axis
f(-x)
Reflection across x-axis
-f(x)
Point slope formula
y-y1 = m(x-x1)
Domain
possible x-values
Range
possible y-values
How to tell if function
vertical line test