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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. Contents 1. Introduction 2 2. Why do we study logarithms ? 2 3. What is a logarithm ? if x = an then log a x ...
We have the following de nition of logarithms: 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. 6).
traditional study of logarithms, we have deprived our students of the evolution of ideas and concepts that leads to deeper understanding of many concepts associated with logarithms. As a result, teachers now could hear “(5.2)y = 30.47, y = 6.32 because the calculator says so,” (52 = 25 for goodness sakes!!)
1.2 Logarithms We use can logarithms to solve exponential equations: The solution of ax = b is x = log a b For example, the solution of ex = 2 is x = log e 2. To find the value of this logarithm, we need to use a calculator: log e 2 = 0.6931. Note Logarithms were invented and used for solving exponential equations by the Scottish baron
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 more efficient method for solving equations using the “Change of Base” formula for logarithms.
26 Μαρ 2016 · Logarithms are simply another way to write exponents. Exponential and logarithmic functions are inverses of each other. For solving and graphing logarithmic functions (logs), remember this inverse relationship and you'll be solving logs in no time! Here's the relationship in equation form (the double arrow means "if and only if"):
A Logarithm is the inverse function for an Exponent -We remember that inverse functions do the exact opposite of one another. -An example can be seen in the table above; the exponential function sends −2 to 1 4. The logarithm would send 1 4 back to −2. -Inverse functions undo one another and this concept is going to be crucial to calculating
