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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.
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.
After reading this text and / or viewing the video tutorial on this topic you should be able to: explain what is meant by a logarithm. state and use the laws of logarithms. solve simple equations requiring the use of logarithms.
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
8. Prove the following statements. (1) logp b x = 2log x (2) log p1 b p x = log x (3) log 4 x2 = log p x 9. Given that log2 = x, log3 = y and log7 = z, express the following expressions
Essential Question. What are some of the characteristics of the graph of a logarithmic function? Every exponential function of the form f (x) bx, where b is a positive real number. = other than 1, has an inverse function that you can denote by g(x) = logb x. This inverse function is called a logarithmic function with base b.
This topic introduces logarithms and exponential equations. Logarithms are used to solve exponential equations, and so are used along with exponential functions when modelling
