Expand exponents with multiplication Power Property Condense multiplication with exponents Change of Base Formula Let and be positive numbers such that . a, b, c Hint: Choose a base that is easy to work with! *Both the common log and the natural log are on the calculator.* Show: Use and to evaluate the logarithm. Ex 1: Expand Ex 2: Which of the following is equivalent to ? Ex 3: Evaluate using common logarithms AND then using natural logarithms. Round your Ex 4: answer to 3 decimal places. The Richter scale is used to measure the magnitude of earthquakes. If an earthquake Ex 5: has intensity then its magnitude on the Richter scale, is given by the function , where is I, R,
Power Property Expand exponents with multiplication Condense multiplication with exponents Change of Base Formula Let a, b, and c be positive numbers such that . Hint: Choose a base that is easy to work with! *Both the common log and the natural log are on the calculator.* Show: Ex 1: Use and to evaluate the logarithm. Ex 2: Expand Ex 3: Which of the following is equivalent to ? Ex 4: Evaluate using common logarithms AND then using natural logarithms. Round your answer to 3 decimal places. Ex 5: The Richter scale is used to measure the magnitude of earthquakes. If an earthquake has intensity I, then its magnitude on the Richter scale, R, is given by the function , where is
student_notes_-_alg_ii_-_chapter_4_-_key_-_larson_cc_(1).docx