\( \left. \begin{array} { l l } { ( - \frac { 5 } { 6 } ) ^ { - 2 } = } \\ { ( \frac { 1 } { 3 } ) ^ { - 1 } = } \\ { ( \frac { 1 } { 2 } ) ^ { - 3 } = } \end{array} \right. \)

Write expression \( \log \left(\frac{x^{4} y^{17}}{z^{2}}\right) \) as a sum or difference of logarithms with no exponents. Simplify your answer completely. \( \log \left(\frac{x^{4} y^{17}}{z^{2}}\right)=\square \)

\#5. The ratio of pink roses to yellow roses in a flower arrangement is \( 5: 3 \). If there are 15 yellow roses, then how many total flowers are in the arrangement?

Write the expression as a sum and/or difference of logarithms. Express powers as factors. \[ \log _{2}\left(\frac{x^{10}}{x-8}\right), x>8 \] \( \log _{2}\left(\frac{x^{10}}{x-8}\right)=\square \) (Simplify your answer.)

11. Вычислите: \( \frac{10^{7}}{5^{6} \cdot 2^{7}} \)

What function is the reflection of \( f(x)=|x+2| \) about the \( x \)-axis? \( g(x)=|x-2| \) Non of the other options \( g(x)=|-x+2| \) \( g(x)=-|x-2| \)