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21 Cards in this Set
 Front
 Back
log property
loga^b = c 
a^c = b


log property
log b^xy 
logb^x + logb^y


log property
logb^(x/y) 
logb^x  logb^y


log property
logb x^n 
n log b^x


logb^x

(logx)/ (logb)


general equation of exponential functions

y = a x b^x
b>0 

sum of 2 cubes

(a+b) (a^2 ab +b^2)


difference of 2 cubes

(ab) (a^2 +ab +b^2)


direct variation

y = kx^n


indirect variation

y = k/(x^n)


midpoints

(X1 +X2)/2, (Y1 + Y2)/2


distance

radical (X2X1) + (Y2 Y1)


circle

(xh)^2 + (yk)^2 = r^2


elipses

ax^2 + by^2 + cx + dy + e = 0
a does not = b 

hyperbolas

ax^2 + by^2 + cx + dy + e = 0
a does not equal b and they are opposite in sign 

using roots to find the quadratic formula

x^2 (r1 +r2) + (r1 x r2)


arithemetic sequence

tn = t1 + (n1)d


geometric sequence

tn = t1 x r^(n1)


arithmetic series

sn = n/2 x (t1 + tn)
or = n/2 x (2t1 + (n1)d) 

geometric series

sn = t1 x (1r^n)/ (1r)


convergent series

s = t1/(1r)
