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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.
Understanding Logarithms Intuitively. Adam A. Smith. Logarithms make a lot of people anxious. A lot of this has to do with the way they're often taught in high school and secondary school: by memorizing all the proper steps, without imparting much deeper meaning. For example, maybe you were once taught to solve problems like this: log7 49 = ?
A graph of common logarithms is included to give students a visual perception of what logarithms look like and to help them understand some of their important characteristics and limits. The concepts discussed here are introduced in a clear, step-by-step manner.
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.
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.
Exponentials and Logarithms. 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).
REVIEW OF LOGARITHMS. has a graph that looks like one of those below, depending on whether b > 1 (left) or 0 < b < 1 (right). The function bx for b > 0 with b 6= 1 has domain the interval (1 ; 1) of all real numbers and range the interval (0; 1) of all positive numbers. This function is either increasing (if.
