Question

2.(logx 5)2 - 14. logx5 = - 20

Answer 1

2.($log_{x} 5$)2 - 14.$log_{x} 5$ = -20
4$log_{x} 5$ - 14$log_{x} 5$ = -20
$log_{x} 5$.(-10) = -20
$log_{x} 5$ = 2
x² = 5
x1 = $- \sqrt{5}$
x2 = $\sqrt{5}$

S = {-√5, √5}