a logarithm with base 10 (written as log x)
A logarithm with base 10, written as log x, is a mathematical function that calculates the exponent to which the base (10 in this case) must be raised to obtain a given number (x)
A logarithm with base 10, written as log x, is a mathematical function that calculates the exponent to which the base (10 in this case) must be raised to obtain a given number (x). In other words, it represents the power to which 10 must be raised to equal a specific value.
To understand this better, let’s take an example:
Suppose we have log 100. This means we want to find the power to which 10 must be raised to obtain 100. In this case, 10 raised to the power of 2 equals 100, so log 100 is equal to 2 (log 100 = 2).
Logarithms with base 10 are commonly used in various fields, including mathematics, engineering, and science. They help in simplifying complex calculations and converting exponential expressions into more manageable forms. Additionally, logarithms with base 10 are often used as a standard representation of numbers in logarithmic scales, such as the Richter scale for measuring earthquakes or the pH scale for indicating the acidity or alkalinity of a solution.
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