Answer all parts please no work needs to be shown

Part 3.2

3.2: Problem Set Overview In this assignment you will be completing problems based on solving log and exponential equations. . The purpose of this assignment is to use logarithmic properties to solve equations. As you work, show your thinking in the box below. Problem Sets Questions Solve the questions below. Show your work. 1. Rewrite as an exponent and then evaluate: logzx = 3. Z 2. Write logfa as an expression in terms of log a, log 0, and log a. 3. Solve log(x+15)+log(x+1)=0.5log4+log3+log(3x+5) 4. Rewrite as a logarithm to solve 5" = 2. Round your answer to three decimal places. 5.Solve 4In(3x+1)=2. Express your answer exactly using e and then as a decimal rounded to three decimal places.3.4: Problem Set Overview In this assignment you will be completing problems based on using exponential and logarithmic functions to model situations. The purpose of this assignment is to use logarithmic and exponential functions to model situations. As you work, show your thinking in the box below. Problem Sets Questions Solve the questions below. Show your work. The following situation will be used for Questions 1-3. Suppose a culture of 1000 bacteria is put into a petri dish and the culture triples every hour. Predict when the number of bacteria will reach 250,000. 1. Use the given information to write the exponential equation used to model this situation. Identify the variables used. 2. Use log properties to solve the equation you developed in question 1.3. Use a graphing calculator to check your work. Describe how the graph of the exponential equation can help you solve the equation and/or check your answer. What are you looking for on the graph? Is your answer correct? The following will be used for questions 4 and 5. A virus is spreading in a local school. The virus is spreading logistically so that it follow the below model: P(t) = 1200/(1 + 39e . tis the number of days since the start of the virus. P(t) represents the number of people infected on day t. 4. How many people are infected by the end of Day 0? 5. How long does it take for 1000 people to become infected?Topic 13 Assignment 2: Problem Set Overview In this assignment you will be completing problems based on right triangle trigonometry and special right triangles. The purpose ofthis assignment is to use trigonometry to find unknown side lengths and angle measures in right triangles. As you work, show your thinking in the box below. Draw diagrams to help get started. Problem Sets Questions Solve the questions below. Show your work. 1. Atree casts a shadow that is 23 ft long. The angle of elevation of the sun is 45 degrees. What is the heioht of the tree? 2. You are flying a kite and have used 24 ft of string but it got caught in a 13 ft tree. What is the angle of elevation to the location of the kite? 3. A group of kids made a ramp for their skateboards. The ramp is 19 feet long. If the horizontal distance of the ramp is 15 ft, what is the vertical distance? 4. The shortest side of a 30-60-90 triangle is 20. Find the lengths of the other sides. 5. A square ABCD has a diagonal length of 1112. Find the square's perimeter and area