There are six performers who will present their comedy acts this weekend at a comedy club. How many different ways are there to schedule their appearances? \( \square \) ways (Type a whole number.)

Which of the following is equivalent to \( \log \left(\frac{1}{x y}\right) \) ? (1 point) \( 1-\log x-\log y \) \( \log x-\log y \) \( -\log x-\log y \) \( -\log x+\log y \)

Which of the following shows the equation \( 6^{2}=36 \) written in logarithmic form? (1 point) \( \log _{6} 36=2 \) \( \log _{2} 36=6 \) \( \log _{2} 6=36 \) \( \log _{36} 2=6 \)

10 A number is increased by \( 3 \% \) and the result is then increased by \( 3 \% \) Which multiplier would you use to find the value after both increases? Circle your answer. \( \begin{array}{llll}\times 1.3^{2} & \times 1.6 & \times 1.06 & \times 1.03^{2}\end{array} \)

The doubling period of a bacterial population is 15 minutes. At time \( t=80 \) minutes, the bacterial population was 60000 . What was the initial population at time \( t=0 \) ? Find the size of the bacterial population after 4 hours.

Evaluate using your calculator and round to 4 decimal places. \( \log _{8} 10=\square \)