Math 229 Lab 5: Section 10.5 Name. Use good notation and show all of your work. Write answers to word problems in complete sentences. 1. Find the value of each expression without using a calculator. (a) log2 V2 (c ) 710875 (e) In 8 - 21n 4 (b) log4 (log3 81)) (d) 321083 2+10g3 5 (f) = log 125 + 210g 3 2. Solve each logarithmic equation. (a) 1 + log(3x - 4) = 0 (c) 10g3(2 - 2) + 10g3(x + 6) = 2 (b) log(x2 - 6x + 9) =0 (d) log2(22 - 1) - 10g2(x + 1) =2Math 229 Lab 5: Section 10.5 Name: 3. Find the interest rate that will cause $5,000 to grow to $7,300 in 6 years if the money is compounded continuously. 4. Alex was given $2,000 for their graduation. They want to go on a European vacation, but think they need to have $10,000 saved for it. How long will they need to leave their money in an account with 11% interest compounded quarterly in order to go on vacation? 5. Assembly-line operations end to have a high turnover of employees, forcing companies to spend much time and effort in training new workers. It has been found that a worker new to a task on the line will produce items according to the function defined by P(s) = 25 - 25e-0.3, where P(x) items are produced by the worker on day x. How many days will it take for a new worker to produce at least 20 items in a day