A certain forest covers an area of \( 3300 \mathrm{~km}^{2} \). Suppose that each year this area decreases by \( 6.5 \% \). What will the area be after 13 years? Use the calculator provided and round your answer to the nearest square kilometer.

1. \( l(x)=\log _{(x-2)}(7-x) \) lonksiyonunun en geniş tanım aralı(gı aşağıdakiler hangisidir? \( \begin{array}{lll}\text { A) } x>2 & \text { B) } 2<x<7 & \text { C) } x \geq 7\end{array} \)

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

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) \( (3 / 5)^{2}: 12 / 25+\sqrt{7 / 3-5 / 9}= \)

Use common logarithms or natural logarithms and a calculator to evaluate the following. \( \log _{15} 89.5 \) Use the change-of-base property to rewrite the given expression in terms of natural logarithms or common logarithms. \( \log _{15} 89.5=\square \) (Do not evaluate.) Evaluate the expression. log \( { }_{15} 89.5 \approx \square \) (Type an integer or a decimal. Do not round until the final answer. Then round to four decimal places as needed.)

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