Question 1060072
{{{ 1100 / ( 1 + 99*e^(-.3x ) ) = 275 }}}
{{{ 1 + 99*e^(-.3x ) = 1100/275 }}}
{{{ 99*e^(-.3x ) = 4 - 1 }}}
{{{ e^( -.3x ) = 1/33 }}}
Take the natural log of both side
{{{ -.3x = ln(1) - ln(33) }}}
{{{ -.3x = -3.4965 }}}
{{{ x = 11.655 }}}
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check answer:
{{{ 1100 / ( 1 + 99*e^(-.3*11.655 ) ) = 275 }}}
{{{ 1100 / ( 1 + 99*e^(-3.4965 ) ) = 275 }}}
{{{ 1100 / ( 1 + 99*.030303 ) = 275 }}}
{{{ 1 + 3 = 1100/275 }}}
{{{ 4 = 4 }}}
OK