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Population at Last Census given Proportionality Factor Formula

GoPopulation at Last Census Formula

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The Population at Last Census refers to the population at the date of last census. Check FAQs

P L = \exp ((T L - T E) \cdot K G + \log 10 (P E))

P_L - Population at Last Census?T_L - Last Census Date?T_E - Earlier Census Date?K_G - Proportionality Factor?P_E - Population at Earlier Census?

Population at Last Census given Proportionality Factor Example

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

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

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

3.7152 = \exp ((19 - 20) \cdot 0.03 + \log 10 (22))

3.7152 = \exp ((19 - 20) \cdot 0.03 + \log 10 (22))

3.7152 = \exp ((19 - 20) \cdot 0.03 + \log 10 (22))

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Population at Last Census given Proportionality Factor Solution

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

FIRST Step Consider the formula

P L = \exp ((T L - T E) \cdot K G + \log 10 (P E))

Next Step Substitute values of Variables

∴

P L = \exp ((19 - 20) \cdot 0.03 + \log 10 (22))

Next Step Prepare to Evaluate

∴

P L = \exp ((19 - 20) \cdot 0.03 + \log 10 (22))

Next Step Evaluate

∴

P L = 3.71516347345058

LAST Step Rounding Answer

∴

P L = 3.7152

Population at Last Census given Proportionality Factor Formula Elements

Variables

Functions

Population at Last Census

The Population at Last Census refers to the population at the date of last census.

Symbol: P_L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Population at Last Census

Last Census Date

The Last Census Date refers to the date at which the population is noted.

Symbol: T_L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Last Census Date

Earlier Census Date

The Earlier Census Date refers to the date at which the population is noted.

Symbol: T_E

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Earlier Census Date

Proportionality Factor

Proportionality Factor is defined as rate of change of population.

Symbol: K_G

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Proportionality Factor

Population at Earlier Census

The Population at Earlier Census refers to the population at the earlier census date.

Symbol: P_E

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Population at Earlier Census

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 to find Population at Last Census

Go Population at Last Census

P L = P E + K A \cdot (T L - T E)

Other formulas in Determination of Population For Inter Censal and Post Censal Years category

Go Constant Factor given Population at Last Census

K A = \frac{P L - P E}{T L - T E}

Go Proportionality Factor given Population at Last Census

K G = \frac{\log 10 (P L) - \log 10 (P E)}{T L - T E}

Go Earlier Census Date given Proportionality Factor

T E = T L - (\frac{\log (P L, e) - \log (P E, e)}{K G})

Go Last Census Date given Proportionality Factor

T L = T E + (\frac{\log (P L, e) - \log (P E, e)}{K G})

How to Evaluate Population at Last Census given Proportionality Factor?

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

How to evaluate Population at Last Census given Proportionality Factor using this online evaluator? To use this online evaluator for Population at Last Census given Proportionality Factor, enter Last Census Date (T_L), Earlier Census Date (T_E), Proportionality Factor (K_G) & Population at Earlier Census (P_E) and hit the calculate button.

FAQs on Population at Last Census given Proportionality Factor

What is the formula to find Population at Last Census given Proportionality Factor?

The formula of Population at Last Census given Proportionality Factor is expressed as Population at Last Census = exp((Last Census Date-Earlier Census Date)*Proportionality Factor+log10(Population at Earlier Census)). Here is an example- 3.715163 = exp((19-20)*0.03+log10(22)).

How to calculate Population at Last Census given Proportionality Factor?

With Last Census Date (T_L), Earlier Census Date (T_E), Proportionality Factor (K_G) & Population at Earlier Census (P_E) we can find Population at Last Census given Proportionality Factor using the formula - Population at Last Census = exp((Last Census Date-Earlier Census Date)*Proportionality Factor+log10(Population at Earlier Census)). This formula also uses Common Logarithm Function, Exponential Growth Function function(s).

What are the other ways to Calculate Population at Last Census?

Here are the different ways to Calculate Population at Last Census-

Population at Last Census=Population at Earlier Census+Constant Factor*(Last Census Date-Earlier Census Date)

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Population at Last Census given Proportionality Factor Formula

​GoPopulation at Last Census Formula

Population at Last Census given Proportionality Factor Example

Population at Last Census given Proportionality Factor Solution

Population at Last Census given Proportionality Factor Formula Elements

Other Formulas to find Population at Last Census

Other formulas in Determination of Population For Inter Censal and Post Censal Years category

How to Evaluate Population at Last Census given Proportionality Factor?

FAQs on Population at Last Census given Proportionality Factor

Variable Name

GoPopulation at Last Census Formula