A certain forest covers an area of \( 2700 \mathrm{~km}^{2} \). Suppose that each year this area decreases by \( 4.25 \% \). What will the area be after 13 years? Use the calculator provided and round your answer to the nearest square kilometer.

Use the properties of logarithms to expand the following expression. \[ \log \left(\frac{x^{3}}{\sqrt{(x+6)^{3}}}\right) \] Your answer should not have radicals or exponents. You may assume that all variables are positive. \( \log \left(\frac{x^{3}}{(x+6)^{3}}\right)=\square \)

Determine whether the following equation defines \( y \) as a function of \( x \). \[ \begin{array}{l}x^{2}+y^{2}=121 \\ \text { Yes noes the equation } x^{2}+y^{2}=121 \text { define } y \text { as a function of } x \text { ? } \\ \text { No }\end{array} \]

AUTOEVALUACION Opera. \[ (-3)^{-2}+\left(\frac{3}{4}\right)^{-1}-2^{-3}\left(1-\frac{1}{2}\right)^{-2} \]

Use the properties of logarithms to expand the expression. \( \ln \left(5 m^{6}\right) \) \( \ln \left(5 m^{6}\right)=\square \)

19. Эcenreruse: \( \frac{4^{0.5}}{0,5^{4}}= \) A) 4 Б) 8 B) 16 D) 32 D) 64