Question

Which of the following is equivalent to log 4 32 ?

Answer 1

The answer is 5/2


`log_x(y) = (log(y))/(log(x)) \\ log_4(32) = (log(32))/(log(4))`


`log (x^(a)) =a*log(x) \\ log(32)= log( 2^(5))=5*log(2) \\ log(4)= log( 2^(2))=2*log(2)`


`(log(32))/(log(4))= (5*log(2))/(2*log(2)) = (5)/(2)`