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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).
Apply common logarithmic models to real-life situations. We have already explored some basic applications of exponential and logarithmic functions. In this section, we explore some important applications in more depth, including radioactive isotopes and Newton’s Law of Cooling.
8 Αυγ 2023 · Using logarithms, you can form the equation and find the required time. logₕ a=y. Log₁₀ 100 = y. Here, ‘y’ will be the required time, ‘h’ is the rate of increment in population, and ‘a’ is the current population. The value of ‘y’ can be easily found with the help of the ‘log table’.
In this booklet we will demonstrate how logarithmic functions can be used to linearise certain functions, discuss the calculus of the exponential and logarithmic functions and give some useful applications of them.
My other lessons in this site on logarithms, logarithmic equations and relevant word problems are - WHAT IS the logarithm - Properties of the logarithm - Change of Base Formula for logarithms - Evaluate logarithms without using a calculator - Simplifying expressions with logarithms - Solving logarithmic equations
In this section, we will discuss the values for which a logarithmic function is defined and then turn our attention to graphing the family of logarithmic functions. Before working with graphs, we will take a look at the domain (the set of input values) for which the logarithmic function is defined.
13 Απρ 2020 · Example: Finding an equation from a log-log graph. For a specific example of the use of such a graph, consider this 2006 question: Equation of Straight Line on the Log-Log Scale I have a log-log graph with a straight line on it, and I want to find the line's equation. The x-axis is scaled as 0.01, 0.1, 1, 10, 100 and the y-axis is 10, 100, 1000 ...
