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Core 1 G1 : Exponential and Logarithmic Equations (1).

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quizQUIZ:Information for: Q&A [Click to subscribe]Exponential and Logarithmic Functions What is an exponential function? y=ax Explain that the variable is in the exponent. What is a logarithm? Explain that a logarithm is an exponent finder. Example: log28=3 How are exponential and logarithmic functions related? Show 2x=y is equivalent to log2y=x What is the number e? e?2.718281828 Why is e important? Show dydx=ex when y=ex Laws of logarithms described. Differentiation of logarithmic and exponential functions shown on notes on the quiz. Change of base formula Differentiating exponential functions Growth and decay What is an exponential function? What is a logarithm? What is the difference between exponential and logarithmic functions? Why is e equal to 2.718? Who discovered e? Why is e important? Why is the derivative of e? equal to e?? Why is the derivative of a? equal to (ln a)a? What is the natural logarithm? What does ln mean? Why is ln called the natural logarithm? What is the difference between log and ln? What is log? Why are logarithms inverse functions? How do you solve exponential equations? How do you solve logarithmic equations? What are the laws of logarithms? How do you sketch exponential graphs? How do you sketch logarithmic graphs? Why do exponential graphs never cross the x-axis? What is the domain and range of an exponential function? What is the domain and range of a logarithmic function? What are exponential growth and exponential decay? Where are exponential functions used? Where are logarithms used? What is compound interest? What is radioactive decay? What is the pH scale? What are decibels?