Question 1108963
{{{y=a*b^x}}}, x in minutes, y in count of bacteria


{{{system(400=a*b^15,2000=ab^35)}}}

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{{{log((400))=log((a))+15*log((b))}}}
{{{log((2^2))+log((10^2))=log((a))+15log((b))}}}
{{{2*log((2))+2=log((a))+15*log((b))}}}


{{{log((2*10^3))=log((a))+35*log((b))}}}
{{{log((2))+3=log((a))+35*log((b))}}}


{{{system(2*log((2))+2=log((a))+15*log((b)),log((2))+3=log((a))+35*log((b)))}}}


{{{20*log((b))=3-2+log((2))-2*log((2))}}}


{{{20*log((b))=1-log((2))}}}


{{{log((b))=(1-log((2)))/20}}}


{{{log((b))=0.0349485}}}


{{{highlight(b=1.0838)}}}

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{{{y=a*(1.0838)^x}}}
{{{400=a(1.0838)^15}}}
{{{a*3.437=400}}}
{{{a=400/3.437}}}
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{{{highlight(a=116)}}}-----initial population


Equation to Model Example:  {{{highlight_green(y=116*(1.0838)^x)}}}