Solving for n in an exponential equation 34=r^n

[yourmom98]

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

i know what the r value is


man i should know this

 

[Fermat]

take logs
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[HallsofIvy]

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.

 

[Brad Barker]

logs: they're better than bad; they're good!