Решите 1 логарифм log3x-log9x+log81x=3

log3 x - log9 x + log81 x = 3 ; log3 x - log3 ^ 2 x + log3 ^ 4 x = 3 ; log3 x - 1 / 2 * log3 x + 1 / 4 log3 x = 3 ; log3 x ( 1 - 1 / 2 + 1 / 4 ) = 3 ; log3 x ( 4 / 4 - 2 / 4 + 1 / 4 ) = 3 ; log3 x ( ( 4 - 2 + 1 ) / 4 ) = 3 ; log3 x ( ( 2 + 1 ) / 4 ) = 3 ; log3 x ( 3 / 4 ) = 3 ; 3 / 4 * log3 x = 3 ; log3 x ^ ( 3 / 4 )= 3 ; x ^ ( 3 / 4 )= 3 ^ 3; ( x ^ ( 3 / 4 ) ) ^ 4 = ( 3 ^ 3 ) ^ 4 ; x ^ ( 3 / 4 * 4 )= ( 3 ^ 3 ) ^ 4 ; x ^ ( 3 / 1 * 1 )= ( 3 ^ 3 ) ^ 4 ; x ^ 3 = ( 3 ^ 3 ) ^ 4 ; x ^ 3 = ( 3 ^ 4 ) ^ 3; x = 3 ^ 4 ; x = 9 * 9 ; x = 81.