The thermal decomposition of an acid is a first-order reaction with a rate constant of \(2.3 \times 10^{-5}\ \text{s}^{-1}\) at a certain temperature. Calculate how long it will take for three-fourths of the initial quantity of acid to decompose.
(\(\log 4 = 0.6021\), \(\log 2 = 0.3010\))