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•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 = n 3 4. Exercises 4 5. The first law of logarithms log a xy = log a x+log a y 4 6. The second ...
Rewrite each equation in logarithmic form. Evaluate each expression. Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com.
terms of logarithms: KEY POINT 2.21 Th e logarithm of 1 is always 0, irrespective of the base. g a 10 We can use the laws of logarithms to manipulate expressions and solve equations involving logarithms, as the next two examples illustrate. Worked example 2.8 If xalog 10 and yb, express log 10 100a2 b in terms of x, y and integers. Use laws of ...
What are some of the characteristics of the graph of a logarithmic function? other than 1, has an inverse function that you can denote by g(x) = logb x. This inverse function is called a logarithmic function with base b. Work with a partner. Find the value of x in each exponential equation. Explain your reasoning.
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).
This topic introduces logarithms and exponential equations. Logarithms are used to solve exponential equations, and so are used along with exponential functions when modelling
Logarithms were originally developed to simplify complex arithmetic calculations. They were designed to transform multiplicative processes into additive ones.
