Αποτελέσματα Αναζήτησης
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.
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.
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.
1.1 Introduction Whenever we use expressions like 73 or 25 we are using exponents. The symbol 25 means 2×2×2×2×2 5 factors. This symbol is spoken as ‘two raised to the power five’, ‘two to the power five’ or simply ‘two to the five’. The expression 25 is just a shorthand way of writing ‘multiply 2 by itself 5 times’.
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. So the expressions like log1 3, log 2 5 numbers (similarly to expressions like. p or log4( 6).
Introduction to Logarithms used whole number bases for the logarithms, including base 10, which is called the common logarithm. Another logarithm, the natural logarithm, uses the number e as the base. The number e is a constant, and, like another famous constant π, e is an irrational number.
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?
