Question

Find the Value of ax = by
If ax = by, then, A. log(a/b) = x/y B. log(a) / log(b) = x/y C. log(a) / log(b) = y/x D. None of these.

Answer 1

$a^{x}= b^{y}$
Taking log both sides,
log $a^{x}$=log $b^{y}$
or, xloga=ylogb
or, loga/logb=y/x 
Answer is C.