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AutoCAD is licensed or sold worldwide. The standard licensed edition costs around $3000 and the latest version, AutoCAD 2016, costs$4800. The perpetual license model is the most common licensing model in the CAD software industry, and most CAD software is sold in this way. On the perpetual licensing model, the original equipment manufacturer (OEM) of the software is given a perpetual license to the software. That license grants the OEM the right to use the software for a specified time period. After the license expires, the OEM may extend the license to another user, or give the license to another company (or acquire it). The user may then purchase a license, transfer it to another computer, or sell or give away the license. It is also possible to use a free trial version of the software before purchasing the license.

Users may be granted or denied access to certain features in the software or their own files, depending on the software’s license model. For example, users with a limited license to the software are usually not allowed to modify the design of certain parts of the software. However, users with a perpetual license are usually allowed to make changes to the design of the software. The advantage of using a perpetual license is that users are only charged for the time period during which they use the software. A software with a perpetual license model is also less prone to the licensing model being changed because the vendor can simply change the license model at a later time, without being required to change the code.

There are many different CAD software packages available on the market, and they vary in their capacity and design. AutoCAD is a highly specialized CAD software application and was designed with a highly specialized set of functions, which are mainly oriented towards the design of mechanical parts. AutoCAD can be used for many other purposes, but is primarily a CAD application. To be more specific, AutoCAD has two types of users: a graphic user interface (GUI) and a command line interface (CLI). The CLI is the most common way of using AutoCAD and is usually used when working in the command line interface. The GUI is a graphical user interface which allows users to work in the GUI, and some commands are not available in the GUI.

AutoCAD is highly versatile and can be used for many purposes, but it is mainly used for mechanical design, architectural design, site design, construction drawings, and also technical drafting.

History

History
The AutoCAD program is based on an upgraded version of AutoPLACER, released by Autodesk in 1984. After purchasing Autodesk in 1994, the company developed CAD/CAM products such as AutoCAD in 1995. AutoCAD LT (a low-cost version) was introduced in 1998. AutoCAD’s development features include the ability to allow multiple applications to work in conjunction with the drawing database.

The first release of AutoCAD was licensed to only Autodesk employees and was not commercially released.

AutoCAD 2007 was the first major update to AutoCAD in about six years, and introduced the ability to work with 3D objects.

AutoCAD 2009 was released on 3 November 2008. It includes new features to handle virtual constructions and added real-time collaboration among users.

AutoCAD 2011 includes features such as surface and solids functionality and was the first release of the new Autodesk Application Framework, which integrates the use of the.NET Framework.

AutoCAD 2012 (a.k.a. AutoCAD 2010), released in November 2009, added several new features, including the ability to make annotations with shapes, the new Repetier integration, and a new interface for the ARX module. It also marked the transition of AutoCAD to the new Application Framework and was the first major release of AutoCAD to run on Mac OS X.

AutoCAD 2013 introduced several major new features, including tools for exporting CAD drawings to various formats and converting 2D drawings to 3D.

AutoCAD 2015 was released on 30 September 2014. It adds features such as real-time collaboration among users, reduced system requirements, and the ability to export drawings.

AutoCAD 2016 is a major update that introduces a completely new interface, improved user interface, and expanded functionality for the entire product line.

AutoCAD 2017 introduced revolutionary features including the ability to edit and save 2D images, 3D modeling, and a new FEM data science tool.

AutoCAD 2018 introduced numerous revolutionary features, including the ability to edit and save 2D images and 3D modeling. It also introduced a new interface, modernized software architecture, and improved data-science tools.

AutoCAD 2019 introduced the ability to interact with drawing components. This release
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Reference

Q:

How do I show that $\log_2(4/9)=3$?

This is my solution to the following problem.

Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a continuous function such that $f(2)=2$. Prove that $f(2/9)=\log_2(4/9)$.

My solution is the following:
$\log_2(4/9) = \frac{\log_2(4)}{\log_2(9)}$.
$\log_2(4) = 2 \log_2(2)$ and $2 \log_2(2) = \log_2(4)$.
Therefore, $\log_2(4/9) = \log_2(4)/\log_2(9) = 2/\log_2(9)$.
I have two questions regarding this solution:

Is it correct?
If so, how do I justify this with the fact that $f$ is continuous?

Thanks!

A:

Your solution is correct. To get the answer $3$, just use the fact that $\ln x \to 0$ as $x \to 0$.

A:

You were correct to set $\log_2 (4/9) = \dfrac{\log_2(4)}{\log_2(9)}$ but it should be clearer why, and more importantly why this is equal to $\dfrac{2}{\ln(9)}$.
Notice that $\log_2(4) = 2\log_2(2)$ and $\ln(9) = \ln(3) + \ln(3) = 2\ln(3)$.
So:

\begin{align}
\log_2(4/9) &= \frac{\log_2(4)}{\log_2(9)}\\
&= \frac{2\log_2(2)}{2\ln(3)}\\
&= \frac{2}{\ln(9)}\\

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