Question

Розвьяжите уровнение log9(x^2-2)=log9(3x+2)

Answer 1

$log9(x^2-2)=log9(3x+2)\\x^2-2=3x+2\\x^2-2-3x-2=0\\x^2-4-3x=0\\x^2+x-4x-4=0\\x(x+1)-4(x+1)=0\\(x+1)(x-4)=0\\x+1=0(ODZ)\\x-4=0\\x=4$