The bacteria in a Petri dish culture are self-duplicating at a rapid pace. The relationship between the elapsed time ttt, in minutes, and the number of bacteria, B(t)B(t)B, left parenthesis, t, right parenthesis, in the Petri dish is modeled by the following function. B(t)=100⋅2t10 How many minutes will it take for the culture to achieve 10{,}00010,00010, comma, 000 bacteria? Round your answer, if necessary, to the nearest hundredth. *(100 points!)