5 If \( -1<x<3, x \in \mathbb{R} \), then \( (x+1) \in \ldots \ldots \ldots \ldots \) \( \begin{array}{lll}\text { (a) }\{0,3\} & \text { (b) }[-1,3[ & \text { (c) }\{0,4\}\end{array} \)

\( x + 5 y \)

Simplify the following: (1) \( \frac{x-1}{x^{2}+3 x+2} \div\left[\frac{x-3}{x+1}-\frac{x-4}{x+2}\right] \) (2) \( \frac{\frac{6 x+5}{x-5}}{\frac{3 x+20}{x-5}+2} \) (3) \( \frac{a^{2}+\left(1-a^{2}\right)}{(1+a) a} \times \frac{(1+a) a}{a^{2}-\left(1-a^{2}\right)} \)

Utiliza logaritmos para resolver: \( 5^{x} = 125 \).

Evaluate the expression when \( a=6 \) and \( b=27 \). \[ b-4 a \] \( \square \) \begin{tabular}{ccc}\hline\( \square \) & 5 \\ \hline\end{tabular}

\begin{tabular}{l} Evaluate the expression when \( c=8 \) and \( d=4 \). \\ \( \qquad \frac{48}{c}+d \) \\ \( \square \square \) \\ \hline\( \square \) \\ \hline\end{tabular}