Question 304070
    The number B of bacteria in a Petri dish culture after t hours is given by B(t)=35e^0.368t When will the number of bacteria be 550?
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Substitute the given data into the equation and solve for t:
{{{B(t)=35e^(0.368t)}}}
{{{550=35e^(0.368t)}}}
{{{550/35 = e^(0.368t)}}}
{{{ln(550/35) = 0.368t}}}
{{{ln(550/35)/0.368 = t}}}
{{{7.49 = t}}}
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That's
t = 7.49 hours