Question 54888
{{{e^(-3x)=3.1}}} Take the natural log of both sides.
{{{ln(e^(-3x))=ln(3.1)}}} Because {{{highlight(ln(a^b)=bln(a))}}}
{{{-3xln(e)=ln(3.1)}}} Because {{{highlight(ln(e)=1)}}}
{{{-3x(1)=ln(3.1)}}}
{{{-3x=ln(3.1)}}}
{{{-3x/-3=ln(3.1)/-3}}}
{{{x=ln(3.1)/-3}}}
{{{x=1.131402111/-3}}}
{{{highlight(x=-.3771340372)}}}
Happy Calculating!!!