\( 13^{2 x}=4^{x-9} \) Write the exact answer using either base-10 or base-e logarithms.

Factor completely: \[ 32 v^{3}-2 v^{3} x^{4} \]

The height \( h \), in feet, of a projectile can be modeled by the equation \( h(t)=-16 t^{2}+v_{0} t+h_{0} \) where \( t \) is the time in seconds, \( h_{0} \) is the projectile's initial height in feet, and \( v_{0} \) is the projectile's initial vertical velocity in feet per second. Solve the projectile motion problem by completing the square. A soccer player kicks a soceer ball from the ground with an initial vertical velocity of var : \( v 0 \) feet per secoad. When will the ball land back on the ground? Round to the nearest tenth of a second. Enter the correct value in the box. Show Hints The ball will land on the ground again in \( \square \) second(s).

Determine the geometric sequence if the second term is \( \frac{1}{9} \) and the sixth term is \( \frac{1}{729} \)

\( 14 d + 12 a + 5 \)

Factor completely: \[ 2 u^{4} w^{4}-2 w^{4} \]