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

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To solve for n in the equation 34 = r^n, logarithms are used to isolate n. The formula becomes n = log(34) / log(r), where log can be in any base, such as common (base 10) or natural (base e). This method effectively moves the exponent out of the equation. Understanding logarithms is essential for solving exponential equations. Using logs simplifies the process of finding n when given r.
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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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take logs
========================================================
 
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.
 
logs: they're better than bad; they're good! :-p
 

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