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To solve a logarithmic equations use the esxponents rules to isolate logarithmic expressions with the same base. Set the arguments equal to each other, solve the equation and check your answer.
For this reason, we typically represent all graphs of logarithmic functions in terms of the common or natural log functions. Next, consider the effect of a horizontal compression on the graph of a logarithmic function. Considering f ( x ) = log( cx ) , we can use the sum property to see.
•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 ...
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This chapter reviews these laws before recalling exponential functions. Then it explores inverses of exponential functions, which are called logarithms. Recall that in an expression such as an in which a is raised to the power of n, the number a is called the base and n is the exponent.
• Recognize, evaluate and graph natural logarithmic functions. • Evaluate logarithms without using a calculator. • Use logarithmic functions to model and solve real-life problems.
