Mastering Logarithms with Base 10: Understanding and Applications in Science, Business, and Finance

a logarithm with base 10 (written as log x)

common logarithm

A logarithm with base 10 (written as log x) is a mathematical function that determines the power to which the base (i.e., 10) must be raised to get the given number (i.e., x). In other words, log x determines the exponent of the power of 10 that gives the number x.

For example, if log x = 2, it means that 10 raised to the power of 2 gives x. Thus, x = 10^2 = 100. Similarly, if log x = 3, it means that 10 raised to the power of 3 gives x. Thus, x = 10^3 = 1000.

Logarithms with a base of 10 are widely used in scientific calculations, particularly in the fields of physics, chemistry, and astronomy. They are also widely used in business and finance to estimate growth rates and compound interest.

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