Question 923728
{{{log (1/3,(x+1))-log(9,x)=-1}}}

{{{-(log(x+1))/(log(3))-(log(x))/(log(9)) = -1}}}

{{{-(log(x+1))/(log(3))-(log(x))/(log(3^2)) = -1}}}

{{{-(log(x+1))/(log(3))-(log(x))/(2log(3)) = -1}}}

{{{(-2(log(x+1))-(log(x)))/(2log(3)) = -1}}}

{{{-2(log(x+1))-(log(x)) = -1(2log(3))}}}

{{{log((x+1)^2)+(log(x)) = log(9)}}}

{{{log((x+1)^2(x)) = log(9)}}}


{{{(x+1)^2*x= 9}}}


{{{(x^2+2x+1)*x= 9}}}


{{{x^3+2x^2+x-9=0 }}} 

roots: =>{{{x[1]=1.4724}}}, {{{x[2]=-1.73618 + 1.76019i}}}   and {{{x[3]=-1.73618 -1.76019i}}}
Roots were found using cubic formulas.