Question 296580
{{{ln(x)-ln(1/3)=1}}} Start with the given equation.



{{{ln(x/(1/3))=1}}} Combine the logs using the identity {{{ln(x)-ln(y)=ln(x/y)}}}



{{{ln(3x)=1}}} Multiply 'x' by the reciprocal of the fraction {{{1/3}}}.



{{{3x=e^1}}} Use the property {{{ln(x)=y}}} ---> {{{x=e^y}}}



{{{3x=e}}} Simplify



{{{x=e/3}}} Divide both sides by 3



So the solution is {{{x=e/3}}}