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Logarithmic growth is inverse of exponential growth...
r = growth rate
P = initial population value
Y = result
t = time
Formula:
Y = P * log r(t)
While exponential growth is as follows:
Y = P * (1 + r) ^ t
Y = P * EXP(1) ^ t (if growth "r" is contigous over time "t")
also linear growth formula is:
Y = P * r * t
finaly here is polynomial growth:
Y = P * t ^ r
~codekiddy.
Wiki User
∙ 12y ago
The formula for logarithmic growth is ( y = a \cdot \log(x) + b ), where ( y ) is the output, ( a ) is a growth factor, ( x ) is the input, and ( b ) is a constant. The logarithmic function grows slowly at first but then accelerates as the input increases, often used to model growth that levels off over time.
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What is the formula would enable you to find out future population size as it's limited by population regulation?
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What is the difference between the natural growth rate and the overall growth rate?
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Do growth rate curves represent the growth rate of a population?
A growth curve is a model of how a quantity will vary with time. These graphs are widely used in science to illustrate the dynamics of quantities such as population size. Thus the answer is "Yes".
Logarithmic growth is known as what?
Exponential growth
How can I define and describe logarighmic growth?
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Why is cell growth typically graphed logarithmically?
cell growth is rapid, and plotting the log of the number of cells versus the generation on a logarithmic graph produces a linear graph
What growth phase will gram - positive bacteria be most susceptible to penicillin?
Bacteria are most sensitive to antibiotics during the exponential stage (rapid growth).
Which phases of a typical bacterial growth curve illustrates a log change in cell number. Oviously log or growth phase is logarithmic. Is the death phase a negative log change?
Exponential
What are the formula of how to measure growth in a company?
The formula to measure growth is a company is simple. The annual percentage growth rate is the percentage of growth divided by the number of years.
How long continue the spirulina cultivation?
Under good sun-light and temperature you can get 1000L for 100L of culture in about a week. Growth is logarithmic. Cheers, Boris.
Formula for population growth without limits?
The formula for population growth is based on the formula for interest. The formula is Final Population is equal to Initial Population multiplied by e raised to the power of the product of the rate of growth multiplied by the time of growth, or P(f) = P(o) * e ^ (rt).
How can you derive the formula of logarithmic growth?
I am assuming that by this you mean exponential growth (the inverse of logarithmic growth. This particular growth rate is the most common type of growth rate in most systems. The following is defined as: W=what you want Wo=what you have initially k=the rate at which the growth is proportional to t=time frame This growth system is based on the fact that what your final product is, is based on what you have at everytime (eg. population growth is proportional to how many people you have) Defined Mathematically dW/dt=kW Rearranging this dW/W=kdt Integrating yields ln(W/Wo)=k*(t(final)-t(initial)) Note: t initial is usually just zero. And if this is used the function is linear (but note the axis) raising both sides to the e (to eliminate the natural log) W/Wo=exp(k*(t(final)-t(initial))) or more commonly W=Wo*exp(k*(t(final)-t(initial))) Hope this helps!
Why do cells that are placed in fresh media not immediately enter logarithmic phase of growth?
. The cells need to switch their metabolic state from a dormant one to an actively growing one .
What is formula of how to measure growth in a company?
Growth in a company can be measured without a formula. You can do this by a company having to expand because of an abundance in product orders.
Formula for population growth?
There are a number of formulas that will work to calculate a population's growth rate. You could use births minus deaths in a year for example.
