Right option is (b) \(∆e = -α log_{10}\frac{t_2}{t_1}\)
For explanation: The secondary consolidation is represented by the equation of,
\(∆e = -α log_{10}\frac{t_2}{t_1}\)
Where α = coefficient representing the rate of secondary compression
t1 and t2 = total elapsed time since load was applied to the soil.