Question 996658
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log(2)(x) - log(2)(3x-1) = 0
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{{{log(2,(x))}}} - {{{log(2,(3x-1))}}} = {{{0}}},     ----->


{{{log(2,(x/(3x-1)))}}} = {{{0}}},                 ----->


{{{x/(3x-1)}}} = 1.


x = 3x - 1,


2x = 1,


x = {{{1/2}}}.