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Logarithms. Use the laws of logarithms to expand and simplify the following expression In( 2 x9 ) + In/ esx - 3x - In(2) X' The simplified expression is O 16In(x) O 6x O -6X O 11ln(x) - In(2) O 2In(x) O -16In(x) O 5In(x) - 3x O In(2) O -2In(x O None of the aboveFDT. Given a function f(x) defined in a neighborhood of a critical point x = c, the first derivative test states that: O if f'(x) > 0 for x 0 for x > c, then x = c is a relative maximum O if f'(x) c, and f'(c) = 0, then x = c is a relative minimum O if f'(x) 0 for x > c, then x = c is a relative minimum O if f'(x) > 0 for x 0 for x > c, and f'(c) = 0, then x = c is a relative minimum O if f'(x) > 0 for x c, then x = c is a relative minimum O if f'(x) > 0 for x 0 for x > c, and f'(c) = 0, then x = c is a relative maximum O none of the other answers O if f'(x) 0 for x > c, then x = c is a relative maximum O if f'(x) c, and f'(c) = 0, then x = c is a relative maximum