1. what is the solution of log4(2x 6)=2?
5
7
11
14
2. what is the solution, or what are the solutions, of 2log6(x)=log6(100)?
10 only
-10 only
-10 and 10
no solution
3. what is the solution, or what are the solutions, of log9(x^2)=log9(25)?
5 only
-5 only
-5 and 5
no solution
4. what is the solution of log3(x + 7) + log3(3)=2?
-4
5
10
no solution

2. explain in words how you plot the point (4, −2) in a rectangular coordinate system.

If x+y+z=0 what is the value of [tex] {x}^{3} + {y}^{3} + {z}^{3} [/tex]

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?