A culture of bacteria grows according to

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A culture of bacteria grows according to N(t)=e0.8tN(t)=e^{0.8t}, where NN is the number of bacteria and tt is time in hours. Which logarithmic equation must be solved to find the time tt when N=20N=20? (a) ln⁡0.8=20t\ln 0.8 = 20 t (b) ln⁡20=0.8t\ln 20 = 0.8 t (c) ln⁡(20 t)=0.8\ln\left(20^{\,t}\right)=0.8 (d) log⁡20e=0.8t\log_{20} e = 0.8 t

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