Question 1034220
{{{ P = 100*e^(.7t) }}}
{{{ P = 300 }}}
{{{ 300 = 100*e^(.7t) }}}
{{{ 3 = e^(.7t) }}}
Take the natural log of both sides
{{{ ln(3) = .7t }}}
{{{ .7t = 1.09861 }}}
{{{ t = 1.5694 }}}
300 colonies will be present in 1.6 hrs
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check:
{{{ 300 = 100*e^(.7t) }}}
{{{ 300 = 100*e^(.7*1.5694) }}}
{{{ 300 = 100*e^1.09861 }}}
{{{ 300 = 100*3 }}}
{{{ 300 = 300 }}}
OK