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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.
Introduction to Logarithms -A logarithm is the inverse function for an exponent; therefore, we will review exponential functions first. Review of Exponential Functions -An exponential function has the general form (𝑥)=𝑏𝑥, where 0<𝑏<1, or 𝑏>1. -b is called the base and x is called the exponent.
What does it mean? First of all the assumptions (restrictions) are important. The number a, called the base of the logarithm, has to be greater than 0 and cannot be equal to 1. The number b (which we take the logarithm of) has to be greater than 0. We have the following de nition of logarithms: De nition. a > 0, a 6= 1 and b > 0 we have:
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.
Intro to Logarithms. Logarithms Algebra II. Julian Zhang. July 2021. 1 Introduction. In mathematics, exponentiation is a shorthand for repeated multiplication. For example, when we write 24, this means. 24 = 2 2 2 2. = 16. However, what if we wanted to perform this operation in reverse?
logarithms allow for the simplification of complex problem situations to basic arithmetic operations. In this unit you will examine the definition and inverse relationship with the exponential function, practice the laws of logarithms, solve logarithmic equations, and explore a
University of Sydney 1 Logarithms. 1.1 Introduction. Taking logarithms is the reverse of taking exponents, so you must have a good grasp on exponents before you can hope to understand logarithms properly. We begin the study of logarithms with a look at logarithms to base 10.
