Question

3^(11/х)+3^(2х+11/х)=90 , решите , кому не сложно

Answer 1

$3^{ frac{11}{x}}+ 3^{(2+frac{11}{x})} =90 \ 3^{ frac{11}{x}}+ 3^{2}*3^{frac{11}{x}} =90 \ 3^{ frac{11}{x}}(1+ 3^{2}) =90 \ 3^{ frac{11}{x}} =90/10 =3^{2}\ frac{11}{x} =2 \ x=5,5$