t_1=1 \\ 3^t=1/3=>3^t=3^{-1}=>t_2=-1 \\ \\ tg3x=1=>3x= \pi/4+ \pi n, n\in Z=>x_1= \pi /12+ \pi n/3,n\in Z \\ tg3x=-1=>3x= -\pi/4+ \pi k, k\in Z=>x_2= -\pi /12+ \pi k/3,k\in Z" alt="tg3x=t \\ 3^{1+2t}-10*3^t+3=0 \\ 3*3^{2t}-10*3^t+3=0 \\ \\ 3^t=y \\ 3y-10y+3=0 \\ D=100-4*3*3=64=8^2 \\ y_1=3;y_2=1/3 \\ \\ 3^t=3=>t_1=1 \\ 3^t=1/3=>3^t=3^{-1}=>t_2=-1 \\ \\ tg3x=1=>3x= \pi/4+ \pi n, n\in Z=>x_1= \pi /12+ \pi n/3,n\in Z \\ tg3x=-1=>3x= -\pi/4+ \pi k, k\in Z=>x_2= -\pi /12+ \pi k/3,k\in Z" align="absmiddle" class="latex-formula">
