The Number e & Natural Logarithms
By DarthVader
Date: 2022-06-09
Topic: 121 see comments
Post views: 982
The Number e
e = 2.71828 (to 5 d.p)
The number e can be used to describe many natural processes where a quantity increases or decreases at a rate that is in proportion to its value. For instance, the decay of radioactive elements may be described by the equation:
Nt = N0e-λt
where Nt can represent the amount of radiation, the number of undecayed nuclei or the mass of the element remaining at time t after release; N0 is the initial amount of the quantity; and λ is a constant for the element under consideration.
Natural Logarithms
The natural logarithm of a number x is the power to which e has to be raised to obtain x.
You may see the natural logarithm of x written as: loge (x) or: ln x
For example:
Exponent form - e2.303
Log form - loge 10 = 2.303
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