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1.1 What is a logarithm? where y = loga(x). Most of you are familiar with the standard base-10 logarithm: where x = 10y. A logarithm for which the base is not speci ed (y = log x) is always considered to be a base-10 logarithm.
19 Ιουλ 2024 · Logarithms are mathematical functions that help in solving equations involving exponents by translating multiplication of numbers into addition of their exponents. Essentially, a logarithm asks the question: “To what exponent must one number, called the base, be raised to produce another number?”
30 Απρ 2009 · Most will have encountered the term pH, but a chemist should be familiar with its formal definition, ie: pH = -log 10 ([H + ]/mol dm -3 ) The definition is written to emphasise an important point, ie one can only take the logarithm of a dimensionless quantity, which in most cases is one without units.
Page 1 Boston University CH102 - General Chemistry Spring 2012 Logarithms Tutorial for Chemistry Students 1 Logarithms 1.1 What is a logarithm? Logarithms are the mathematical function that is used to represent the number (y) to which a base integer (a) is raised in order to get the number x: x =a y ; where y = log a (x).
4 Αυγ 2024 · Logarithm is a mathematical function that represents the exponent to which a fixed number, known as the base, must be raised to produce a given number. In other words, it is the inverse operation of exponentiation.
to understand logarithms a good knowledge of indices is required. We know that 16 = 24 Here, the number 4 is the power. Sometimes we call it an exponent. Sometimes we call it an index. In the expression 24, the number 2 is called the base. Example We know that 64 = 82. In this example 2 is the power, or exponent, or index. The number 8 is the ...
These notes describe approximating numerical values of logarithms and antilogarithms, including how to set the number of significant figures. The first part of these notes, on approximating numerical values of logarithms, was originally prepared by George Huber, a senior teaching fellow in general chemistry at Boston University for several years.