Solving ln(t+1) - t = (-ln399)/4: Need Advice

In summary, the conversation discusses the difficulty in solving an equation involving natural logarithms and the suggestion to use numerical approximation or Lambert's W function to find a solution.
  • #1
fresh
17
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after much stress i now have

ln(t +1) - t = (-ln399)/4

i am not sure how you would proceed about isolating for t. i have tried using the exponential and other algebraic tactics but it has been to no avail. some sort of suggestion would be much appreciated.
 
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  • #2
I'm afraid you're out of luck! There is no simple solution to your equation (i.e. you can't isolate t) and you'll have to resort to numerical approximation.
 
  • #3
There is a thing called "Lambert's W function" that can be used to solve such equations- but it is not an "elementary function". Here is a reference:
http://encyclopedia.thefreedictionary.com/Lambert's%20W%20function
 

FAQ: Solving ln(t+1) - t = (-ln399)/4: Need Advice

What is the purpose of solving ln(t+1) - t = (-ln399)/4?

The purpose of solving this equation is to find the value of t that satisfies the given equation. This can help in understanding the relationship between the natural logarithm function and t.

How do I solve ln(t+1) - t = (-ln399)/4?

To solve this equation, you can use algebraic techniques such as isolating the variable, combining like terms, and using the properties of logarithms. You can also use a graphing calculator or an online equation solver to find the numerical value of t.

What are the steps involved in solving ln(t+1) - t = (-ln399)/4?

The steps involved in solving this equation include isolating the variable, using logarithmic properties to simplify the equation, and then solving for t. The final step is to check if the solution satisfies the original equation.

Is there a specific method or formula for solving equations involving natural logarithms?

Yes, there are specific methods for solving equations involving natural logarithms. These include using logarithmic properties, converting to exponential form, and using the laws of logarithms. It is important to have a good understanding of these concepts in order to solve equations involving natural logarithms.

Can I use a calculator to solve ln(t+1) - t = (-ln399)/4?

Yes, you can use a graphing calculator or an online equation solver to find the numerical value of t. However, it is important to understand the steps involved in solving the equation manually in order to check the accuracy of the calculator's result.

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