3. Simplifica y resuelve las siguientes expresiones con valor absoluto \[ \begin{array}{l}\text { 1. }\left|-\frac{3}{4}\right|+\left|\frac{5}{8}\right| \\ \qquad \begin{array}{l}\text { 2. }|\sqrt{2}-3|+\left|\frac{1}{2}-\sqrt{3}\right| \\ \text { 3. } 2\left|\frac{7}{3}\right|-\left|\frac{4}{5}\right| \\ \text { 4. }|\pi-4|+|\sqrt{5}-2| \\ \text { 5. }\left|-\frac{5}{6}\right|-\left|\frac{1}{4}\right|+|\sqrt{2}+\sqrt{3}| \\ \text { 6. }\left|\frac{-12}{5}+\frac{1}{3}\right| \cdot|\pi-\sqrt{4}| \\ \text { 7. }|\sqrt{7}-3|-\frac{1}{2}|\sqrt{3}-1|+\left|\frac{2}{3}\right|\end{array}\end{array} . \]

40) Resolver los sfrulentes calculos comb a) \( (4 / 5-1 / 2)^{2} \cdot 25 / 3-\sqrt{1-7 / 16}= \) b) \( \sqrt{125 / 64}-(4 / 15: 8 / 5+1 / 3)^{1}= \) c) \( \sqrt{49 / 121}+(2 / 3: 1 / 9)^{2}= \) d) \( \sqrt{8 / 125}+(1 / 2+1-2 / 3)= \) e) \( (3 / 5)^{2}: 12 / 25+\sqrt{7 / 3-5 / 9}= \)

Find the outer measure of \( x \) for \( \{-5 \leq x \leq 3\} \cup\{-2 \leq x<7\} \)

\( 1 \leftarrow \quad \begin{array}{l}\text { Use properties of loganithms to condense the logarithmic expression below. Write the expression as a single logarithm } \\ \text { whose coefficient is } 1 \text {. Where possible, evaluate logarithmic expressions. } \\ 6 \ln x+3 \ln y-4 \ln z\end{array} \) \( 6 \ln x+3 \ln y-4 \ln z=\square \)

Find the domain and range of \( y=\log _{7}(1+5 x) \). The domain is: The range is:

a) Vis at \( \sqrt{12} \) kan omforms til \( 2 \sqrt{3} \)