- log 1 / 3 (2 * x - 3) = 1 / 3;- log 1 / 3 (2 * x - 3) = 1 / 3 * log 1 / 3 ( 1 / 3) ;log 1 / 3 (2 * x - 3) ^ ( - 1 ) = log 1 / 3 ( 1 / 3) ^ ( 1 / 3) ; (2 * x - 3) ^ ( - 1 ) = ( 1 / 3) ^ ( 1 / 3) ;1 / (2 * x - 3) ^ 1= ( 1 / 3) ^ ( 1 / 3) ; 1 / (2 * x - 3) = ( 1 / 3) ^ ( 1 / 3) ;(2 * x - 3) * ( 1 / 3) ^ ( 1 / 3) = 1 ;( (2 * x - 3) * ( 1 / 3) ^ ( 1 / 3) ) ^ 3 = 1 ^ 3; 1 / 3 * (2 * x - 3) ^ 3 = 1 ; (2 * x - 3) ^ 3 = 1 * 3 ; (2 * x - 3) ^ 3 = 3 ; (2 * x - 3) = √3 ; 2 * x = √ 3 + 3 ; x = ( √3 + 3 ) / 2 .