10. Решите неравенство
[block](64^(sqrt(x)) - 16*8^(sqrt(x)) + 64)/(100-(0,001)^(1-2x))[/block]
[m]0,5^{\frac{1}{x}} ≥ 0,5^{-4}[/m]
[m]\frac{1}{x} ≤ -4[/m]
[m]\frac{1+4x}{x} ≤ 0[/m]
[m]-\frac{1}{4} ≤ x <0[/m]
О т в е т. [m][-\frac{1}{4} ;0)[/m]
2)
[m]\frac{(8^{\sqrt{x}}-8)^2}{10^2-(10^{-3})^{1-2x}} ≥ 0[/m]
[m]\left\{\begin{matrix}
x ≥0 \\10^2-(10^{-3})^{1-2x} ≥ 0 \end{matrix}\right.[/m]; [m]\left\{\begin{matrix}
x ≥0 \\(10^{6x-3} ≤ 10^2 \end{matrix}\right.[/m];[m]\left\{\begin{matrix}
x ≥0 \\6x-3 ≤ 2 \end{matrix}\right.[/m][m]\left\{\begin{matrix}
x ≥0 \\x ≤ \frac{5}{6} \end{matrix}\right.[/m]
О т в е т. [m][0; \frac{5}{6} ][/m]