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10 cards from this deck
loga(xy)=loga(x)+loga(y)\log_a(xy) = \log_a(x) + \log_a(y)loga(xy)=loga(x)+loga(y)
loga(xy)=loga(x)−loga(y)\log_a(\frac{x}{y}) = \log_a(x) - \log_a(y)loga(yx)=loga(x)−loga(y)
loga(xn)=nloga(x)\log_a(x^n) = n \log_a(x)loga(xn)=nloga(x)
They must have the same base
Evaluates to a rational number (expressible as a fraction)
Evaluates to irrational number (non-repeating, non-terminating)
All arguments must be positive (x>0x > 0x>0)
ay=xa^y = xay=x
x=logc(b)logc(a)x = \frac{\log_c(b)}{\log_c(a)}x=logc(a)logc(b)
Solutions making arguments negative or zero must be rejected
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