log_{3}((x-1)^2)=2

Lösung

lo g_{3} ((x - 1)^{2}) = 2

x = 4, x = - 2

Schritte zur Lösung

lo g_{3} ((x - 1)^{2}) = 2

Wende die log Regel an

(x - 1)^{2} = 9

Löse

(x - 1)^{2} = 9 : x = 4, x = - 2

x = 4, x = - 2

lo g_{3} (x - 4) = 1 + lo g_{9} (x)

ln (1 + x) = 1

ln (4 x) = 9

lo g_{2} (x + 2) - lo g_{2} (x - 1) = 4

4 ln (x) = ln (x^{4})