Using Stirling's approximation for the gamma function, and ignoring factors that disappear in the logarithm after taking N large, S = N ( 3 2 log ⁡ ⁡ ( E ) − − 3 2 log ⁡ ⁡ ( 3 2 N ) + log ⁡ ⁡ ( V ) − − log ⁡ ⁡ ( N ) ) = N ( 3 2 log ⁡ ⁡ ( 2 3 E / N ) + log ⁡ ⁡ ( V N ) ) .