Use the properties of logarithms to expand the following expression. \[ \log \left(\frac{x^{5}}{\sqrt{(x+6)^{3}}}\right) \] \( \log \left(\frac{x^{5}}{\sqrt{(x+6)^{3}}}\right)=\square \) our answer should not have radicals or exponents.

\( \frac { 3 ) } { 3 x + 4 } = \frac { 2 x - 8 } { 3 } \)

Use the elimination method to find all solutions of the system: \( \left\{\begin{array}{l}x^{2}-2 y=7 \\ x^{2}+5 y=14\end{array}\right. \) The two solutions of the system are: (the one with \( x<0 \) is) \( x=\square \) \( y=\square \) (the one with \( x>0 \) is) \( x=\square \) \( y=\square \)

Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another meth Write all numbers as integers or simplified fractions. \[ \begin{array}{l}7 x+7 y=-19 \\ \\ -9 x-5 y=4 \\ \text { Part: } 0 / 2 \\ \text { Part } 1 \text { of } 2 \\ \text { Evaluate the determinants } D_{1} D_{x} \text {, and } D_{y} \\ D=\square\end{array} \] \( \square \)

Find the solutions. \( \left\{\begin{array}{l}x^{2}-4 y=29 \\ x^{2}+2 y=23\end{array}\right. \) > Next Question

Find the nth term of the geometric sequence whose initial term is \( a_{1}=5 \) and common ratio is 10 . \( a_{n}=\square \) Next Question answer must be a function of \( n \).) .