[ATTACH=full]973[/ATTACH]

prove log(a,x)=log(b,x)/log(b,a) first Let log(a, x)=y then write in exponent form a^y = x then take log (base b ) of both sides and evaluate log(b, a^y) = log (b, x) y*log(b, a) = log (b, x)........substitute y log(a, x)*log(b, a) = log (b, x) log(a, x)= log (b, x)/log(b, a)

What can I say? You are a true mathematician. You are someone I hope to be before my time on earth comes to an end.