Find the exact value of the logarithm without using a calculator. \( \log _{\sqrt{5}} 25 \) \( \log _{\sqrt{5}} 25=\square \) (Type an integer or a simplified fraction.)

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

Use logarithms to solve the equation for \( t \). R \( e^{0.27}=8 \)

Julie swam, biked, and ran in a 22.2 mile triathlon. She completed the race in 2.15 hours. The function \( m=13.8 \mathrm{~h} \) represents the miles \( m \) Julie biked in \( h \) hours. Was her average speed biking less than or greater than her average speed for the entire race? Justify your answer. Round to the nearest tenth if necessary.

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. \( \log \left(\frac{x^{4} y^{17}}{z^{2}}\right)=\square \)

Simplify the logarithmic expression: \( \text{\log}_{2}(8) + \text{\log}_{2}(4) \)