![image](https://tex.z-dn.net/?f=4%5Ex+-+12+%2A+2%5Ex+%2B+32%3D0+%5C%5C+%0A2%5E%7B2x%7D+-+12+%2A+2%5Ex+%2B+32%3D0+%5C%5C+%0A2%5Ex%3Dt%2C+t%3E0+%5C%5C+%0At%5E2-+12+t+%2B+32%3D0+%5C%5C+%0At_1%3D4%2C+x_1%3D2+%5C%5C+%0At_2%3D8%2C+x_2%3D3+%5C%5C+)
0 \\
t^2- 12 t + 32=0 \\
t_1=4, x_1=2 \\
t_2=8, x_2=3 \\ " alt="4^x - 12 * 2^x + 32=0 \\
2^{2x} - 12 * 2^x + 32=0 \\
2^x=t, t>0 \\
t^2- 12 t + 32=0 \\
t_1=4, x_1=2 \\
t_2=8, x_2=3 \\ " align="absmiddle" class="latex-formula">
t находила по теореме виетта