Question 1003768
(3x)^(1+ log of X base 3)=3
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{{{(3x)^(1+ log(3,X))=3}}}
{{{3x*(3x)^log(3,X))=3}}}
{{{x*(3x)^log(3,X))=1}}}
{{{x*(3^log(3,X))*(x^log(3,x)) = 1}}}
{{{x*x*(x^log(3,x)) = 1}}}
{{{x^(log(3,x)) = 1/x^2 = x^-2}}}
{{{log(3,x) = -2}}}
{{{x = 3^(-2)}}}
x = 1/9
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Check:
(1/3)^(1-2) = 3
It's correct.