Question 1103313
{{{1.5p=p*(b)^50}}}

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{{{b^50=1.5}}}

{{{50*log((b))=log((1.5))}}}

{{{log((b))=log((1.5))/50}}}


{{{base}}}{{{ten}}}{{{common}}}{{{logs}}}

{{{log(10,b)=0.00352}}}


{{{10^0.00352=b}}}

{{{highlight_green(b=1.00814)}}}

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MODEL:  {{{highlight(y=p*1.00814^x)}}}


For the question, start as p=160 and find how many years x until population reached y=810.

{{{160*1.00814^x=810}}}

{{{1.00814^x=81/16}}}

{{{log((1.00814^x))=log((81/16))}}}

{{{x=log((81/16))/log((1.00814))}}}

{{{0.704365/0.0035208}}}

{{{x=200}}}------------years BEFORE 1950 year.


The year was  1750 when population was 160.