Question

lg (x-2) + lg x = lg 8. Help)

Answer 1

lg (x-2) + lg x = lg 8.

$x-2>0, x>0; x>2; lg (x-2) x = lg 8; (x-2)x=8; x^2-2x-8=0; (x-4)(x+2)=0; x-4=0 V x+2=0; x_1=4>2; x_2=-2<2; x=4$

ответ: 4