(1+y/m)^m=x

Question

i need to make m the subject of the equation 

Answer 1

I concur with Kenneth.  You cannot solve analytically for m because you end up with a transcendental equation.  (What do you mean by making m "the subject of the equation"?  Is that a Common Core thing?)  But if you want to solve for y, as Kenneth suggested, then do the following:

 

(1 + y/m)^m = x

 

Take 1/m power on both sides and get

 

1 + y/m = x^1/m (assumes x^1/m is real)

 

y = m(x^1/m - 1)