What's New Activity 2: THE SECRET MESSAGE Description: This activity will enable you to solve logarithmic equation. Directions: Decode the secret message by solving for the value of x in each given below. Write the corresponding letter of the given to the blank which contain its answer. A U log4 x = 2 logx 27 = 3 log2 log3 x = 4 %3D = 4 In x = 3 F H. log2 x = 5 logx 16 = 4 log3 x = -2 log x = 3 log16 x = 2. The secret message: 3 16 4 81 1,000 20.09 32 48 119

What's New Activity 2: THE SECRET MESSAGE Description: This activity will enable you to solve logarithmic equation. Directions: Decode the secret message by solving for the value of x in each given below. Write the corresponding letter of the given to the blank which contain its answer. A U log4 x = 2 logx 27 = 3 log2 log3 x = 4 %3D = 4 In x = 3 F H. log2 x = 5 logx 16 = 4 log3 x = -2 log x = 3 log16 x = 2. The secret message: 3 16 4 81 1,000 20.09 32 48 119

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.1: Logistic Functions

Problem 20E: Modeling Human Height with a Logistic Function A male child is 21inches long at birth and grows to...

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Newton’s Law ofCooling states that the temperatureTof an object at any time t can be described by theequation T=Ts+(T0Ts)ekt, where Ts is thetemperature of the surrounding environment, T0 is the initial temperature of the object, and k is thecooling rate. Use the definition of a logarithm alongwith properties of logarithms to solve the formula fortime tsuch that tis equal to a single logarithm.
More on the Pacific Sardine This is a continuation of Example 5.1. In this exercise, we explore the Pacific sardine population further, using the model in Example 5.1. a. If the current level of the Pacific sardine population is 50,000 tons, how long will it take for the population to recover to the optimum growth level of 1.2milliontons? Suggestion: One way to solve this is to make a new logistic formula using K2.4, r0.338, and N(0)0.05. b. The value of r used in Example 5.1 ignores the effects of fishing. If fishing mortality is taken into account, then r drops to 0.215 per year with the carrying capacity still at 2.4milliontons. Answer the question in part a using this lower value of r. Note: The population estimate of 50,000 tons and the adjusted value of r are given in the paper by Murphy see footnote 3 on page 347. Murphy points out that factoring in the growth of the competing anchovy population makes the recovery times even longer, and he adds. "It is disconcerting to realize how slowly the population will recover to its level of maximum productivity ... even if fishing stops." Studies to fit a logistic model to the Pacific sardine population have yielded. N=241+239e0.338t where t is measured in years and N is measured in millions of tons of fish. Part 1 What is r for the Pacific sardine? Part 2 According to the logistic model, in the absence of limiting factors, what would be the annual percentage growth rate for the Pacific sardine? Part 3 What is the environmental carrying capacity K? Part 4 What is the optimum yield level? Part 5 Make a graph of N versus t. Part 6 At what time t should the population he harvested? Part 7 What portion of the graph is concave up? What portion is concave down?
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Wealth Distribution Vilfredo Pareto (18481923) observed that most of the wealth of a country is owned by a few members of the population. Paretos Principle is logP=logcklogW where W is the wealth level how much money a person has and P is the number of people in the population having that much money. aSolve that equation for P. bAssume that k=2.1 and c=8000, and that W is measured in millions of dollars. Use part a to find the number of people who have 2 million or more. How many people have 10 million or more?
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