18. Fill in the blank with an appropriate inequality a. If \( x<-2 \), then \( 1-\mathrm{x} \) b. If \( \frac{1}{2}\left(3 x-\frac{2}{3}\right) \leq x+5 \), then \( x+\frac{7}{3} \) c. If \( 3 x-1>5 x-3 \), then \( 3 x \)

Write \( \frac{1}{2} \log \left(x^{4}\right)-3 \log (x) \) as a single logarithmic expression

Solve \( -\frac{1}{6}\left[3-15\left(\frac{1}{3}\right)^{2}\right] \)

\( \left\{ \begin{array} { l } { 1.1 ) = \frac { 101 } { 100 } + \frac { 100 } { 101 } \quad b = \frac { 101 } { 100 } - \frac { 100 } { 101 } } \\ { a ^ { 2 } - b ^ { 2 } + 1 = ? } \\ { 2 x + y + z = 0 \times y z = - 18 \quad x ^ { 3 } + y ^ { 3 } + z ^ { 3 } = ? } \end{array} \right. \)

Write \( \frac{1}{2} \log \left(x^{4}\right)-3 \log (x) \) as a single logarithmic expression A. \( \log \left(x^{\frac{3}{2}}\right) \) B. \( -\log (x) \) C. \( \frac{\log \left(x^{\frac{4}{3}}\right)}{\text { D. } \frac{1}{4} \log \left(x^{3}\right)} \)

98. Разность квадратов корней уравнения \( x^{2}+2 x+q=0 \) равна 12 . Найдите \( q \).