Αποτελέσματα Αναζήτησης
First, let’s try multiplying two numbers in exponential form. For example. = 27 = 23+4. Examples like this suggest the following general rule. Rule 1: bn bm = bn+m. That is, to multiply two numbers in exponential form (with the same base), we add their exponents. Let’s look at what happens when we divide two numbers in exponential form.
This chapter is devoted to exponentials like 2x and 10x and above all ex: The goal is to understand them, differentiate them, integrate them, solve equations with them, and invert them (to reach the logarithm). The overwhelming importance of ex makes this a crucial chapter in pure and applied mathematics.
Having previously defined what a logarithm is (see the notes on Functions and Graphs) we now look in more detail at the properties of these functions. The relationship between logarithms and exponentials is expressed as:
This topic introduces logarithms and exponential equations. Logarithms are used to solve exponential equations, and so are used along with exponential functions when modelling growth and decay. The logarithmic function is an important mathematical function and you will meet it again if you study calculus.
This chapter is devoted to exponentials like 2" and 10" and above all ex. The goal is to understand them, differentiate them, integrate them, solve equations with them, and invert them (to reach the logarithm). The overwhelming importance of ex makes this a crucial chapter in pure and applied mathematics.
Freely sharing knowledge with learners and educators around the world. Learn more. MIT OpenCourseWare is a web based publication of virtually all MIT course content. OCW is open and available to the world and is a permanent MIT activity.
Exponentials and logarithms could well have been included within the Algebra module, since they are basically just part of the business of deal- ing with powers of numbers or powers of algebraic quantities.
