Question

solve for x.

y = Ae^kx

Answer 1

y/A = e^kx
apply natural log on both sides
ln(y/A) = kx
ln y - ln A = kx
x = (ln y - ln A)/k

Answer 2

or try
\[\frac{y}{A}=e^{kx}\]
\[\ln(\frac{y}{A})=kx\]
\[x=\frac{\ln(\frac{y}{A})}{k}\]

Answer 3

same answer

Answer 4

This doesn't look right. Isn't A a matrix?