Find the domain of the logarithmic function. Put your answer in interval notation. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.f(x) = ln (6 – x)

Find the logarithm using the change-of-base formula. Round your final answer to four decimal places. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.log5 0.722

Solve the exponential equation. Give an exact answer. Express the solution set in terms of natural logarithms. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.(3.6)x = 42

Graph the inequality.y > x2 – 7

Solve the system of equations. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.4x + 4y = -182x – 3y = 193x + y + 2z = -6

Solve. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.The value of a particular investment follows a pattern of exponential growth. In the year 2018, you invested money in a money market account. The value of your investment t years after 2018 is given by the exponential growth model When will the account be worth $8406? Round your answer to the nearest year.

Solve the system of equations. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.5x + 2y = -124x – 3y = -192x + y + 3z = -17

Solve the rational inequality. Express the solution set in interval notation. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper. < 0

Graph the solution set of the system of inequalities or indicate that the system has no solution.x2 + y2 ≤ 81-8x + 7y ≤ -56

Find the inverse of the relation.{(-1, 5), (0, 5), (1, -2), (2, -8)}