Prove that loga(x)+loga(y)=loga(xy)\log_a(x) + \log_a(y) = \log_a(xy)loga(x)+loga(y)=loga(xy) for positive x,yx, yx,y and valid base aaa.
True only when a=ea = ea=e
False; this is never true
True only when x=yx = yx=y
True; this is the product rule for logarithms