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20 Ιαν 2023 · Logarithmic expressions can be evaluated and applied to real-life situations. The document defines logarithmic functions and provides examples of converting between logarithmic and exponential forms. It discusses the properties of logarithmic equality and solving logarithmic equations by rewriting them in exponential form.
17 Φεβ 2014 · The document defines logarithmic functions and provides examples of converting between logarithmic and exponential forms. It discusses the properties of logarithmic equality and solving logarithmic equations by rewriting them in exponential form.
8 Αυγ 2023 · Logarithms is a method to represent a significantly large mathematical value, and it helps to identify how many times a number has to be multiplied to get a desired other number. Logarithms are represented as a base number and power to that base number, using the equation logₕ a=y.
28 Μαρ 2015 · • For example, Briggs' first table contained the common logarithms of all integers in the range 1–1000, with a precision of 8 digits. • As the function f(x) = 𝑏^𝑥 is the inverse function of 𝑙𝑜𝑔 𝑏(x), it has been called the antilogarithm.
31 Οκτ 2014 · Properties of Logarithms. The Product Rule. Let b , M , and N be positive real numbers with b 1. log b (MN) = log b M + log b N The logarithm of a product is the sum of the logarithms. For example, we can use the product rule to expand ln (4 x ): ln (4 x ) = ln 4 + ln x . æ . 747 views • 9 slides
10 Σεπ 2014 · The inverse of an exponential function is called a logarithmic function. That is, where b > 0, and b ≠ 1; if y = log b x , then b y = x . The domain of the log function is the set of all positive real numbers and the range of the log function is the set of all positive real numbers.
We're at the typical "logarithms in the real world" example: Richter scale and Decibel. The idea is to put events which can vary drastically (earthquakes) on a single scale with a small range (typically 1 to 10).