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Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log (1000x)

Solve.The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential growth model When will the account be worth $12,988?

Determine the slope and the y-intercept of the graph of the equation.-x + 6y – 72 = 0

Determine the slope and the y-intercept of the graph of the equation.-x + 6y – 48 = 0

Complete the square and write the equation in standard form. Then give the center and radius of the circle.x2 + y2 – 10x – 8y + 41 = 36

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.f(x) = -x2 + 2x – 9

Find the midpoint of the line segment whose end points are given.(8, -7) and (-5, -6)

Graph the equation in the rectangular coordinate system.8x + 4 = -12

Graph the inequality.(x + 3)2 + (y – 1)2 > 9

Graph the equation in the rectangular coordinate system.6x – 1 = -19