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 logarithmic equation. Give the exact answer. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.log (4 + x) – log (x – 5) = log 4

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.log2 0.281

Use the Binomial Theorem to expand the binomial and express the result in simplified form. You will receive no credit if you use any other method. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.(x – 7y)5

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

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.(log x + log y) – 3 log (x + 6)

Find the value of the expression.ln e-4

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.log4 0.959

Find the value of the expression.ln e-7

Solve the system. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.x2 + y2 = 113x + y = -15