ln(A) = -kt+ln(B)
kt = lnB - lnA
kt = ln(B/A)
t = ln(B/A) / k
k = ln(B/A) / t
lnB = lnA + kt
B = e^(lnA + kt)
1/B = kt + 1/B
0 = kt
t = 0
k = 0
B is any value except B≠0
(are you sure you have no typo in 2) ?
2) should be 1/(B) = kt+1(A)
I am dealing with concentrations and A and B are just placeholders for the concentrations.
2) I thought there was something wrong with your first typing of the question
1/B = kt + 1/A
multiply each term by AB, the LCD
A = ABkt + B
A - B = ABkt
t = (A-B)/(ABk)
k = (A-b)/(ABt)
from: A = ABkt + B
A = B(Akt + 1)
B = A/(Akt + 1)
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