Question

log по основанию 0.5 (x^2 - 3)= -2

Answer 1

$log_{0.5} (x^2-3)=-2;\ x^2-3>0;\ x^2-3=0.5^{-2};\ x^2-3=2^2;\ x^2-3=4;\ x^2=4+3;\ x^2=7;\ x_1=-sqrt{7};\ x_2=sqrt{7}$