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we know the answer is B but can you explain step by step.

The population of a bacteria, $P$, after $t$ hours is represented by the function $P(t)=400(1.4)_{3t}$. Which equation represents the inverse of $P(t)$ ? $p_{?1}(t)=3?ln(500t?)ln(1.4)?p_{?1}(t)=3?ln(1.4)ln(400t?)?p_{?1}(t)=ln(500t?)3?ln(1.4)?p_{?1}(t)=ln(1.4)3?ln(4001?)??$

The population of a bacteria, P, after t hours is represe

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