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Population at Earlier Census given Proportionality Factor Formula

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The Population at Earlier Census refers to the population at the earlier census date. Check FAQs
PE=exp(log10(PL)-(TL-TE)⋅KG)
PE - Population at Earlier Census?PL - Population at Last Census?TL - Last Census Date?TE - Earlier Census Date?KG - Proportionality Factor?

Population at Earlier Census given Proportionality Factor Example

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With units
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Here is how the Population at Earlier Census given Proportionality Factor equation looks like with Values.

Here is how the Population at Earlier Census given Proportionality Factor equation looks like with Units.

Here is how the Population at Earlier Census given Proportionality Factor equation looks like.

3.7858Edit=exp(log10(20.01Edit)-(19Edit-20Edit)⋅0.03Edit)
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Population at Earlier Census given Proportionality Factor Solution

Follow our step by step solution on how to calculate Population at Earlier Census given Proportionality Factor?

FIRST Step Consider the formula
PE=exp(log10(PL)-(TL-TE)⋅KG)
Next Step Substitute values of Variables
∴ PE=exp(log10(20.01)-(19-20)⋅0.03)
Next Step Prepare to Evaluate
∴ PE=exp(log10(20.01)-(19-20)⋅0.03)
Next Step Evaluate
∴PE=3.78576162522923
LAST Step Rounding Answer
∴PE=3.7858

Population at Earlier Census given Proportionality Factor Formula Elements

Variables
Functions
Population at Earlier Census
The Population at Earlier Census refers to the population at the earlier census date.
Symbol: PE
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Population at Earlier CensusOpen Variable
Population at Last Census
The Population at Last Census refers to the population at the date of last census.
Symbol: PL
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Population at Last CensusOpen Variable
Last Census Date
The Last Census Date refers to the date at which the population is noted.
Symbol: TL
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Last Census DateOpen Variable
Earlier Census Date
The Earlier Census Date refers to the date at which the population is noted.
Symbol: TE
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Earlier Census DateOpen Variable
Proportionality Factor
Proportionality Factor is defined as rate of change of population.
Symbol: KG
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Proportionality FactorOpen Variable
log10
The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.
Syntax: log10(Number)
exp
n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.
Syntax: exp(Number)

Other formulas in Post Censal Period category

​Go Population at Mid Year for Geometric Increase Method Post Censal
PM=exp(log10(PL)+KG⋅(TM-TL))
​Go Population at Last Census for Geometric Increase Method Post Censal
PL=exp(log10(PM)-KG⋅(TM-TL))
​Go Proportionality Factor for Geometric Increase Method Post Censal
KG=log10(PM)-log10(PL)TM-TL
​Go Mid Year Census Date for Geometric Increase Method Post Censal
TM=TL+(log10(PM)-log10(PL)KG)

How to Evaluate Population at Earlier Census given Proportionality Factor?

Population at Earlier Census given Proportionality Factor evaluator uses Population at Earlier Census = exp(log10(Population at Last Census)-(Last Census Date-Earlier Census Date)*Proportionality Factor) to evaluate the Population at Earlier Census, The Population at Earlier Census given Proportionality Factor is defined as the value of population at earlier census when we have prior information of other parameters used. Population at Earlier Census is denoted by PE symbol.

How to evaluate Population at Earlier Census given Proportionality Factor using this online evaluator? To use this online evaluator for Population at Earlier Census given Proportionality Factor, enter Population at Last Census (PL), Last Census Date (TL), Earlier Census Date (TE) & Proportionality Factor (KG) and hit the calculate button.

FAQs on Population at Earlier Census given Proportionality Factor

What is the formula to find Population at Earlier Census given Proportionality Factor?
The formula of Population at Earlier Census given Proportionality Factor is expressed as Population at Earlier Census = exp(log10(Population at Last Census)-(Last Census Date-Earlier Census Date)*Proportionality Factor). Here is an example- 3.78494 = exp(log10(20.01)-(19-20)*0.03).
How to calculate Population at Earlier Census given Proportionality Factor?
With Population at Last Census (PL), Last Census Date (TL), Earlier Census Date (TE) & Proportionality Factor (KG) we can find Population at Earlier Census given Proportionality Factor using the formula - Population at Earlier Census = exp(log10(Population at Last Census)-(Last Census Date-Earlier Census Date)*Proportionality Factor). This formula also uses Common Logarithm (log10), Exponential Growth (exp) function(s).
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