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(a) Show that log.(r) = c + log, (x) for some constant c (expressed only in terms of the constants a and b). Hint: This is probably easier than you think... It follows quite directly from the log properties. You should, though, prove that it's true for any a and b and not prove by an example.

(a) Show that log.(r) = c + log, (x) for some constant c (expressed only in terms of the constants a and b). Hint: This is probably easier than you think... It follows quite directly from the log properties. You should, though, prove that it's true for any a and b and not prove by an example.

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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(a) Show that loga(x) = c * log, (x) for some constant c (expressed only in terms of the constants a and b). Hint: This is probably easier than you think... It follows quite directly from the log properties. You should, though, prove that it's true for any a and b and not prove by an example. (b) Calculate the ratio between the number of digits required to write a number in base 10 and the number of digits required to write the same number in base 2. Notice that this question relates to question 2 and 3a above.
Transcribed Image Text:(a) Show that loga(x) = c * log, (x) for some constant c (expressed only in terms of the constants a and b). Hint: This is probably easier than you think... It follows quite directly from the log properties. You should, though, prove that it's true for any a and b and not prove by an example. (b) Calculate the ratio between the number of digits required to write a number in base 10 and the number of digits required to write the same number in base 2. Notice that this question relates to question 2 and 3a above.
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