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Evaluate the following logarithm expressions to verify the change of base rule. la. log:(50) = (use a calculator) 16. log2(50) : (apply change of base to a common base of e) (use a calculator) Are the two answers equal? 2a. log3(81) = (without a calculator)

Evaluate the following logarithm expressions to verify the change of base rule. la. log:(50) = (use a calculator) 16. log2(50) : (apply change of base to a common base of e) (use a calculator) Are the two answers equal? 2a. log3(81) = (without a calculator)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4. (20) Change of base rule. We can change the base of any logarithm by using the "change of base" rule: log, (a) = log: (a) log, (b) where x is any valid number for base but usually take the value of one of the commonly use bases such as e, 2, or 10. Evaluate the following logarithm expressions to verify the change of base rule. la. log2(50) = (use a calculator) 1b. log2(50): (apply change of base to a common base of e) (use a calculator) Are the two answers equal? 2a. log3(81) =, (without a calculator) 2b. log3(81) = (apply change of base to a common base of 10) (use a calculator) Are the two answers equal?
Transcribed Image Text:4. (20) Change of base rule. We can change the base of any logarithm by using the "change of base" rule: log, (a) = log: (a) log, (b) where x is any valid number for base but usually take the value of one of the commonly use bases such as e, 2, or 10. Evaluate the following logarithm expressions to verify the change of base rule. la. log2(50) = (use a calculator) 1b. log2(50): (apply change of base to a common base of e) (use a calculator) Are the two answers equal? 2a. log3(81) =, (without a calculator) 2b. log3(81) = (apply change of base to a common base of 10) (use a calculator) Are the two answers equal?
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