Learn How to Solve Equations with Exponential Terms | Homework Help

Thread starter ha.dnri
Start date Nov 29, 2010

In summary, there are different methods for solving different types of equations, such as elimination or substitution for linear equations, factoring or using the quadratic formula for quadratic equations, and utilizing properties of logarithms for exponential and logarithmic equations. It is important to understand the properties and rules of each type of equation in order to choose the most appropriate method. It is also recommended to check your answer and seek assistance if you get stuck while solving an equation. While there may be some shortcuts or tricks for specific equations, it is best to focus on understanding the fundamentals and practicing regularly to improve equation-solving skills. Seeking help from a teacher or tutor can also be beneficial.

Nov 29, 2010

ha.dnri

Homework Statement

Ae^(-at) + Be^(-bt) = (A+B)/2

Homework Equations

The Attempt at a Solution

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Nov 29, 2010

Hootenanny

Staff Emeritus

Science Advisor

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ha.dnri said:

Homework Statement

Ae^(-at) + Be^(-bt) = (A+B)/2

Homework Equations

The Attempt at a Solution

What do you mean "solve"? Perhaps if you provided us with a more complete statement of the problem and detailed your attempt/thoughts we would be able to offer more help.

1. How do I know which method to use to solve an equation?

This depends on the type of equation you are trying to solve. For linear equations, you can use the elimination or substitution method. Quadratic equations can be solved by factoring, using the quadratic formula, or completing the square. Exponential and logarithmic equations require specific methods such as taking the logarithm of both sides or using properties of logarithms. It is important to understand the properties and rules of each type of equation to determine the most appropriate method.

2. Can I check my answer to ensure it is correct?

Yes, it is always recommended to check your answer to make sure it satisfies the original equation. Simply substitute the value of the variable you solved for back into the equation and see if both sides are equal. If they are, then your answer is correct.

3. What should I do if I get stuck while solving an equation?

If you are stuck while solving an equation, take a step back and review the problem. Make sure you have correctly applied all the necessary steps and check for any simple mistakes. It can also be helpful to work through the problem with a friend or classmate, or seek assistance from a teacher or tutor.

4. Are there any shortcuts or tricks to solving equations faster?

While there may be some shortcuts or tricks for specific types of equations, it is important to understand the fundamentals and steps of solving equations. It is not recommended to rely solely on shortcuts as they may not always work for every equation. Practice and understanding of the concepts will ultimately lead to faster and more accurate solutions.

5. How can I improve my equation-solving skills?

The best way to improve your equation-solving skills is through practice. Start with simple equations and gradually work your way up to more complex ones. Also, make sure to understand the fundamentals and rules of each type of equation. Seeking help and guidance from a teacher or tutor can also be beneficial in improving your skills.