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Exponential Identities
(Math | Algebra | Exponents)

Powers

x a x b = x (a + b)

x a y a = (xy) a

(x a) b = x (ab)

x (a/b) = bth root of (x a) = ( bth (root)(x) ) a

x (-a) = 1 / x a

x (a - b) = x a / x b

Logarithms

y = logb(x) if and only if x=b y

logb(1) = 0

logb(b) = 1

logb(x*y) = logb(x) + logb(y)

logb(x/y) = logb(x) - logb(y)

logb(x n) = n logb(x)

logb(x) = logb(c) * logc(x) = logc(x) / logc(b)

  
 
  

 
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