Question 436256
{{{ m = a/(1 + b*e^x) }}}
Multiply both sides by {{{ 1 + b*e^x }}}
{{{ m*(1 + b*e^x) = a }}}
{{{ m + m*b*e^x = a }}}
{{{ m*b*e^x = a - m }}}
{{{ e^x = (1/b)*(a/m -1) }}}
Take the ln of both sides
{{{ x = ln(a/m - 1) - ln(b) }}}