exam Maths Puzzle Numerical Ability

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use properties of logarithms to expand each logarithmic expression as much as possible. where possible, evaluate logarithmic expression without using a calculator
log^b x^7 A ball is thrown downward from a window in a tall building. Its position at time T in seconds is s=16t^2+32t, where S is in feet. How long (to the nearest tenth) will it take the ball to fall 276 feet?