Question 942957

{{{log(3,(x-1)^2 )=2}}}...change to base {{{10}}}


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


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


{{{log((x-1)^2 )=log(3^2)}}}...if log same, then


{{{(x-1)^2 =3^2}}}....take square root of both sides


{{{sqrt((x-1)^2) =sqrt(3^2)}}}


{{{x-1 =3}}}  or {{{x-1 =-3}}}


if {{{x-1 =3}}}, then

{{{x =3+1}}}


{{{x =4}}}



if {{{x-1 =-3}}}, then

{{{x =-3+1}}}


{{{x =-2}}}