Question 1199264
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<pre>

    B(t) = {{{B[0]*e^(r*t)}}}

    500  = {{{100*e^(r*5)}}}

    {{{500/100}}} = {{{e^(5r)}}}

    5 = {{{e^(5r)}}}

    ln(5) = {{{ln(e^(5r))}}}

    ln(5) = 5r

    r = {{{ln(5)/5}}} = 0.3218875... = 0.3119   (rounded).


<U>ANSWER</U>.  Exponential growth rate of the colony of bacteria is 0.3119 bacteria/hour.
</pre>

Solved.