Hi, I', currently working on an audio envelope generator. The function is g = (exp ((ln s) * f) - 1) / (s - 1). How do I solve this for s? Any help would
#g = (exp((ln s) * f) - 1) / (s - 1)# , solve for s
1 Answer
Oct 10, 2017
We cannot form an explicit expression for
Explanation:
We have:
# g = (exp((ln s) * f) - 1) / (s - 1) #
# \ \ = (exp(gln s) - 1) / (s - 1) #
# \ \ = (exp(ln (s^g)) - 1) / (s - 1) #
# \ \ = ( s^g - 1) / (s - 1) #
And so:
# (s-1) g = s^g - 1 #
# :. sg -g= s^g - 1 #
# :. s^g - sg = 1 - g#
And we cannot form an explicit expression for