5.5 (Version B) Math 112 Section: Instructor's name: 1. Solve the equation exactly for . log( + 6) log( + 5) = log(3) Main Algebraic Solution: Check Your Solution: Name: Section 5.5 (Version B) Math 112 Section: Instructor's name: 2. Solve the equation exactly for . log 2 (1 ) + log 2 (3 ) = 3 Main Algebraic Solution: Check Your Solution: Name: Section 5.6 (Version B) Math 112 Section: Instructor's name: Name: 1. Suppose a culture of bacteria starts with 5000 bacteria. After one hour, the count is 6000. Find an exponential equation that models the number of bacteria in hours. Keep at least 4 decimal places in your formula for rounded values. Find the doubling time of the bacteria. Round the doubling time to the nearest 0.01 hours. Make sure you check the growth factor and the doubling time. Main Algebraic Solution: Check Your Solution: Section 5.6 (Version B) Math 112 Section: Instructor's name: Name: 2. A cup of coffee which is initially at a temperature of 157 F is placed in a room which is at a constant temperature of 72 F. In 8 minutes, the coffee has cooled to 138 F. Find the Newton's Law of Cooling formula that models the coffee's temperature in minutes. Keep at least 4 decimal places in your formula for rounded values. Determine to the nearest minute how long it will take the coffee to cool to a temperature of 100 F. Make sure you check the decay factor and the time. Main Algebraic Solution: Check Your Solution