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.(3.3)x = 47

Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.5 x + 6 = 3

Complete the square and write the equation in standard form. Then give the center and radius of the circle. 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 – 12x + 10y + 12 = 0

Solve the problem.A sample of 800 grams of radioactive substance decays according to the function where t is the time in years. How much of the substance will be left in the sample after 30 years? Round to the nearest whole gram.

Convert to a logarithmic equation.yz = 3

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 $10,363? Round your answer to the nearest year.

Graph the inequality.y > x2 + 3

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.(3.7)x = 45

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 (5 + x) – log (x – 3) = log 5

Graph the function.g(x) = ex – 3.