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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 = ay; where y = loga(x). Most of you are familiar with the standard base-10 logarithm: y = log10(x); where x = 10y.
explain what is meant by a logarithm. state and use the laws of logarithms. solve simple equations requiring the use of logarithms. Contents. Introduction. Why do we study logarithms ? What is a logarithm ? if x = an then loga x = n. 4. Exercises. 5. The first law of logarithms. loga xy = loga x + loga y. 6. The second law of logarithms.
This topic introduces logarithms and exponential equations. Logarithms are used to solve exponential equations, and so are used along with exponential functions when modelling
This revised edition of the Maths for Chemists introductory text provides a foundation in the key mathematical topics required for most degree level chemistry courses. While it is aimed primarily at students with limited backgrounds in mathematics, the text should prove accessible and useful to all chemistry undergraduates. We have
Most simply, logarithms are mathematical functions that extract the exponent from the exponential representation of a number. Antilogarithms (exponential functions) are literally functions that “undo” the taking of a logarithm.
The change of base rule: log a. c. = log. c b. There are two common abbreviations for logarithms to particular bases: log. 10 x is often written as log x. loge x is often written as ln x. The graphs of exponential and logarithmic functions:
work with logarithms of algebraic rather than numerical quantities, which is essential to understand key aspects of chemistry. 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
