Równanie logarytmiczne pawel: log₃3x + log_x3x = log₉¹₃

KUZDE: = log₃ 3 + log₃ x + log_x 3 + log_x x = log_(1/3)⁻² 1/3 = 1 + log₃ x + log_x 3 + 1 = −2 log₃ x + log_x 3 = 4 log_x x / log x₃ + log x 3 = 4

1
	+ logx 3 = 4
logx 3

log_x 3 = t t² − 4t + 1 = 0 t² − 4t + 4 = 3 ( t − 2)² = 3 t − 2 = √3 = t − 2 = −√3 => t = 2 + √3 v t = 2− √3 log_x 3 = 2 + √3 => x = log_2−√3 3

KUZDE: v x = log_2+√3 3

Eta: log₉(1/3)= −0,5

KUZDE: hahaha, to teraz moze ladny wynik wyjdzie