Question 307918
Your equation can be expressed (1/5)^x = 0.2 using rules of logs.

Take the natural log of both sides of the equation.

Let ln = natural log

ln(1/5)^x = ln(0.2)

(x/5)ln = ln(0.2)

x[ln(1/5)] = ln(0.2)

x = ln(0.2)/ln(1/5)

We now apply the calculator on the right side.

x = 1