Question 70663
The demand function for a certain commodity is given by p=80e exponent fraction -q/2 Write q as a function of p
{{{p=80e^(-q/2)}}}
{{{p/80=80e^(-q/2)/80}}}
{{{p/80=e^(-q/2)}}}
{{{ln(p/80)=ln(e^(-q/2))}}}
{{{ln(p/80)=-(q/2)ln(e)}}}  ln(e)=1, so
{{{ln(p/80)=-q/2}}}
{{{-2ln(p/80)=-2(-q/2)}}}
{{{-2ln(p/80)=q}}}
{{{highlight(q=-2ln(p/80)))}}}
Happy Calculating!!!!