Question 909511
{{{ln(x+1) - ln(x-1) = 1/2}}}


{{{ ln((x+1)/(x-1)) = 1/2 }}}


{{{ 2*ln((x+1)/(x-1)) = 1 }}}


{{{ ln(((x+1)/(x-1))^2) = 1 }}} ....{{{ln(e)= 1}}}


{{{ ln(((x+1)/(x-1))^2) = ln(e)}}}


{{{ ((x+1)/(x-1))^2 = e}}}


{{{ (x+1)/(x-1) = sqrt(e)}}}


{{{ x+1 = (x-1)sqrt(e)}}}


{{{ x+1 = xsqrt(e)-sqrt(e)}}}


{{{ x-xsqrt(e) = -1-sqrt(e)}}}


{{{ x(1-sqrt(e)) = -(1+sqrt(e))}}}


{{{ x = -(1+sqrt(e))/(1-sqrt(e))}}}


{{{ x = -(1+sqrt(e))/(-(sqrt(e)-1))}}}


{{{ x = (1+sqrt(e))/(sqrt(e)-1)}}}