A decaying substance has mass grams

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

A decaying substance has mass D(t)=1200e−0.04tD(t)=1200e^{-0.04t} grams, while a growing compound has mass C(t)=80e0.06tC(t)=80e^{0.06t} grams, where tt is measured in minutes. Calculate the earliest time tt at which the two masses are equal.

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