The following equation calculates the number of years y it takes for x percent of the robin population to die. See attached Estimate analytically the percentage of robins that died after 4 years. Do not round until final answer, then round to 4 decimal spaces if needed. ### Title: Understanding Logarithmic Equations#### Subject: RobinsThe equation provided is:\[y = \frac{3 - \log(100-x)}{0.42}\]**Explanation:**- **Variable \(y\):** Represents the output or dependent variable of the equation.- **Logarithm (\(\log\)):** The function \(\log(100-x)\) is the logarithm of the expression \(100-x\). Logarithms are the inverse operation of exponentiation and are essential in scenarios where the rate of change of a quantity is dependent on its current value.- **Expression \(100-x\):** This is the argument of the logarithmic function. The variable \(x\) should be less than 100 for this log function to be defined under real numbers.- **Multiplier 3:** It appears as a constant in the expression \(3 - \log(100-x)\), adjusting the scale or shift of the logarithmic output.- **Divisor \(0.42\):** This constant term divides the entire expression, scaling the output value \(y\).**Applications:**Logarithmic equations like this one are useful in various fields such as biology, economics, and physics, where they model processes or behaviors like growth rates, decay, and intensities.**Note:** Care should be taken when defining the domain of this function. Since it's logarithmic, the input expression \(100-x\) must be greater than zero. Thus, \(x\) should be less than 100 for the function to remain within the domain of real numbers.

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The following equation calculates the number of years y it takes for x percent of the robin population to die. See attached Estimate analytically the percentage of robins that died after 4 years. Do not round until final answer, then round to 4 decimal spaces if needed.

The following equation calculates the number of years y it takes for x percent of the robin population to die. See attached Estimate analytically the percentage of robins that died after 4 years. Do not round until final answer, then round to 4 decimal spaces if needed.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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