Given that y = ca^(-kt) , express t in terms of y , c and k
You asked:
Given \(y = c \cdot {a}^{-\left( k t \right)}\), express \(t\) in terms of the variables \(y\), \(c\) and \(k\).
MathBot Answer:
$$\begin{aligned}t &= \frac{\log{\left(\frac{c}{y} \right)}}{k \log{\left(a \right)}}\end{aligned}$$