или
![image](https://tex.z-dn.net/?f=8%5Ex-4%5Ex%3D2%5E%7Bx%2B1%7D%2C+%5C%5C+%0A2%5E%7B3x%7D-4%5E%7B2x%7D-2%5Ccdot2%5Ex%3D0%2C+%5C%5C+%0A2%5Ex%3Dt%2C+t%3E0%2C%5C%5C+%0At%5E3-t%5E2-2t%3D0%2C+%5C%5C+%0At%28t%5E2-t-2%29%3D0%2C+%5C%5C%0At_1%3D0%2C+%5C%5C+%0At%5E2-t-2%3D0%2C+%5C%5C+t_2%3D-1%2C+t_3%3D2%2C+%5C%5C+%0A2%5Ex%3D2%2C++%5C%5C+x%3D1.)
0,\\
t^3-t^2-2t=0, \\
t(t^2-t-2)=0, \\
t_1=0, \\
t^2-t-2=0, \\ t_2=-1, t_3=2, \\
2^x=2, \\ x=1." alt="8^x-4^x=2^{x+1}, \\
2^{3x}-4^{2x}-2\cdot2^x=0, \\
2^x=t, t>0,\\
t^3-t^2-2t=0, \\
t(t^2-t-2)=0, \\
t_1=0, \\
t^2-t-2=0, \\ t_2=-1, t_3=2, \\
2^x=2, \\ x=1." align="absmiddle" class="latex-formula">