Use the change-of-base property and a calculator to find a decimal approximation to each of the following logarithms (to at least 4 decimal places). a. \( \log _{7} 25=\square \) b. \( \log _{25} 7= \)

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

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

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

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