How do you solve for n in this question 34=r^n

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In summary, to solve for n in this equation, we need to use logarithms with base r. This helps us isolate n and understand the relationship between r and n. There is a specific method to solve for n, and the possible values of n can be any real number. An example of solving for n is taking the logarithm of both sides with base r and using a calculator to find the value of n.
  • #1
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how do you solve for n in this question
34=r^n

i know what the r value is


man i should know this
 
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  • #2
take logs
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  • #3
In general the way to "move" a number out of an exponent is to use the inverse of exponential: logarithm. If rn= 34, then n log(r)= log(34) so n= log(34)/log(r). It doesn't matter what logarithme you use: common (base 10) or natural (base e) are on your calculator but any base will do.
 
  • #4
logs: they're better than bad; they're good! :tongue2:
 

1. How do you solve for n in this equation?

To solve for n in this equation, we need to use logarithms. Specifically, we can use the logarithm with base r, which is the inverse function of exponentiation. This will help us isolate n on one side of the equation.

2. What is the purpose of finding n in this equation?

Finding n in this equation can help us better understand the relationship between the base (r) and the exponent (n). It can also help us make predictions or solve problems involving exponential growth or decay.

3. Is there a specific method to solve for n in this equation?

Yes, there is a specific method to solve for n in this equation, which involves using logarithms. We can also rearrange the equation to make n the subject, if needed.

4. What are the possible values of n in this equation?

The possible values of n in this equation can be any real number, since the exponent can take on any value. However, depending on the context of the problem, there may be restrictions on the possible values of n.

5. Can you provide an example of solving for n in this equation?

Yes, for example, if we have the equation 34 = r^n, we can take the logarithm of both sides with base r to get logr34 = n. Then, we can use a calculator to find the value of n, which would be approximately 1.5414. So, the solution to this equation is n = 1.5414.

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