Mathematics formulaes 1

Powers

x ^a x ^b = x ^{(a + b)}

x ^a y ^a = (xy) ^a

(x ^a) ^b = x ^(ab)

x ^(a/b) = b^th root of (x ^a) = ( b^th (x) ) ^a

x ^(-a) = 1 / x ^a

x ^{(a - b)} = x ^a / x ^b

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