(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I would like to solve the following equation for the variable "n"

The variable c represents any integer constant.

(n/2)^n = c

The goal is to get this in some form of n = ?

2. Relevant equations

The logarithm properties.

3. The attempt at a solution

I've tried using logs but I get stuck because there seems to be no way to somehow combine n as a base, and n as an exponent. Is this something that requires higher level math?

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Let all logs be of base 2

(n/2)^2 = c

log(n/2)^n = log(c)

n*log(n/2) = log(c)

n(log(n)-log(2)) = log(c)

n(log(n)-1) = log(c)

Here I get stuck because any further logarithm manipulation only goes in circles.

Can anyone teach or point to me what kind of math I need to know to solve this please?

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# Homework Help: Solving for variable N when it is used as a base and exponent

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