Express \( \frac{5}{2 \sqrt{5}} \) as a simplified fraction with a rational denominator.

Solve each equation. \( \ln (2 k-3)-\ln (7+k)=\ln (8 / 11) \)

2. Решить неравенство: \( \begin{array}{ll}\text { а) } \sqrt{2 x-3}>4 & \text { б) } \sqrt{4 x-x^{2}}>-2-3 x^{2} \\ \text { 3. Решить уравнение: } \\ \sqrt{15-x}+\sqrt{3-x}=6\end{array} \)

Eiercicio 3: extrae factores v... \( (2 \) pts bien resuelico) Suma los siguientes radicales indicados. a) \( \sqrt{45}-\sqrt{125}-\sqrt{20} \)

\( \begin{aligned} \text { 16) } & x^{4}-y^{4}= \\ \text { A. } & (x-y)^{4} \\ \text { B. } & (x+y)^{2}(x-y)^{2} \\ \text { C. } & \left(x^{3}+y^{3}\right)(x-y) \\ \text { D. } & \left(x^{3}-y^{3}\right)(x+y) \\ \text { E. } & \left(x^{2}+y^{2}\right)(x+y)(x-y)\end{aligned} \)

Solve each equation. \( 16 . \ln (2 k-3)-\ln (7+k)=\ln (8 / 11) \) \( 17 . \log (m-27)=2 \)