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### 21 Cards in this Set

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 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 (a-b) (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 (X2-X1) + (Y2 -Y1) circle (x-h)^2 + (y-k)^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 + (n-1)d geometric sequence tn = t1 x r^(n-1) arithmetic series sn = n/2 x (t1 + tn) or = n/2 x (2t1 + (n-1)d) geometric series sn = t1 x (1-r^n)/ (1-r) convergent series s = t1/(1-r)