Does, S = k ln W == W = e^s/k?

Question

"Boltzmann's equation relates the entropy S of an ideal gas to the number W of microstates corresponding to a given macrostate, via the equation

S = k ln W

where k is the so-called Boltzmann constant. Rearrange this formula to make W the subject"

S = k ln W
S/k = ln W
W = e^S/k

Is this correct? Thanks!

p.s how do i get the exponent to format without the ^ ? And can i write a log, eg. log 5, with the base 5 (or whatever number, e, etc) formatted correctly? I'm new around here..

Answer 1

$$W=e^\frac{S}{k}$$

$W=e^\frac{S}{k}$