solve for x from (0.008)^x=1/25 i'm confuse help me

Answer 1

(0.008)^x = 1/25.
Take log of both sides:
X*log(0.008) = log(0.04),
-2.0969*X = -1.3979,
X = -1.3979 / -2.0969 = 0.6667.