Question 1086813
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1-log5 x =log5 (x-1)
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If this is for log of base 5,
{{{1-log(5,x)=log(5,(x-1))}}}


{{{log(5,(x-1))+log(5,x)=1}}}


{{{log(5,((x-1))*x))=1}}}


{{{5^1=x(x-1)}}}

{{{5=x^2-x}}}

{{{x^2-x-5=0}}}

{{{system(x=(1-sqrt(1+4*5))/2,or,x=(1+sqrt(1+4*5))/2)}}}


You want the choice that makes the log inputs positive:
{{{cross(x=(1-sqrt(21))/2)}}},or,{{{highlight(x=(1+sqrt(21))/2)}}}