Question 340237
{{{(2/3)^(x-2) = (9/4)^(2x-1)}}}
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{{{ln(2/3)^(x-2)=ln(9/4)^(2x-1)}}}
{{{(x-2)ln(2/3)=(2x-1)ln(9/4)}}}
{{{xln(2/3)-2ln(2/3)=2xln(9/4)-ln(9/4)}}}
{{{xln(2/3)-2xln(9/4)=2ln(2/3)-ln(9/4)}}}
{{{x(ln(2/3)-2ln(9/4))=ln(2/3)^2-ln(9/4)}}}
{{{x(ln(2/3)-ln(9/4)^2)=ln(4/9)-ln(9/4)}}}
{{{x(ln((2/3)/(81/16)))=ln((4/9)/(9/4))}}}
{{{xln((2/3)*(16/81))=ln((4/9)*(4/9))}}}
{{{xln(32/243)=ln(16/81)}}}
{{{x=ln(16/81)/ln(32/243)}}}