Question Number 149042 by mathdanisur last updated on 02/Aug/21

100x^(lg(x))  = x^3    ⇒   x = ?

Answered by bramlexs22 last updated on 02/Aug/21

⇒100x^(log _(10) (x)) = x^3   ⇒2+(log _(10) x)^2 =3log _(10) x  ⇒y^2 −3y+2=0  ⇒(y−1)(y−2)=0   { ((y=1⇒log _(10) (x)=1⇒x=10)),((y=2⇒log _(10) (x)=2⇒x=100)) :}

Commented bymathdanisur last updated on 02/Aug/21

Thank You Ser