Babatunde Elucidation.
As the description of the website displays-understanding what you know is the key- I would like to explain briefly on this topic.
Brief explanation on the topic.
Logarithms are exponents, and their properties are actually the properties of exponents. For instance, the solution of 10ˣ =2 is x ≅ 0.3, which is a logarithm. Logarithms were developed in the early seventeenth century to simplify computations in astronomy and navigation. With the development of calculators, this use has become obsolete. However, these functions still have many important applications in mathematics and the sciences. Logarithmic functions are used to determine the pH of a solution in chemistry and to measure the magnitude of an earthquake in geology.
In this article, I would focus on logarithms without using tables. If you're interested in learning Logarithms using table, click here. So without any further ado, here we go:
1) The Power Rule
logₘ xⁿ = nlogₘ x
2) Using the Product Rule
logₘ xy = logₘ x + logₘ y.
3) The quotient rule
logₘ (x/y) = logₘ x - logₘ y
The aforementioned three are the most important, so I will halt it here.
Enjoy!
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