Prove that loga(xy)=loga(x)−loga(y)\log_a(\frac{x}{y}) = \log_a(x) - \log_a(y)loga(yx)=loga(x)−loga(y) for positive x,yx, yx,y and valid base aaa.
True only when a=ea = ea=e
True only when x>yx > yx>y
True; this is the quotient rule for logarithms
False; this is never true