Exercice 9 Déterminer les nombres manquants: \[ \text { a) }(-1) \times(-2) \times \ldots \ldots(-3)=60 \]

3. Résoudre les équations suivantes: (a) \( \log _{x}(x-2)=\log _{x-2}(x) \)

10. a. Show that the roots of the equation \( 2\left(a^{2}+b^{2}\right) x^{2}+2(a+b) x+1=0 \) can never be real unless \( a=b \). b. Prove that the roots of the equation \( x^{2}+(2 k-1) x+k^{2}=0 \) are real roots if \( k \leq \frac{1}{4} \).

\( a^{2}=4 a+4 \) \( b^{2}=4 b+4 \) olduğuna göre, \( \frac{a-4}{a^{2}}+\frac{4}{b^{2}} \) kaçtır?

2 - Qual é o valor de \( x \) \( \begin{array}{ll}\text { a) } 2^{x}=32 & \text { b) } 5^{a}=25\end{array} \)

10. \( g(t)=\left(t+\frac{1}{t}\right)\left(5 t^{2}-\frac{1}{t^{2}}\right) \)