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Complete the following table of logarithms without using a calculator; then, answer the questions that follow. log(x) log(x) 1,000,000 100,000 10,000 0.1 0.01 0.001 1000 0.0001 100 0.00001 10 0.000001 a. What is log(1)? How does that follow from the definition of a base-10 logarithm? b. What is log(10k) for an integer k? How does that follow from the definition of a base-10 logarithm? What happens to the value of log(x) as x gets really large? C. d. For x > 0, what happens to the value of log(x) as x gets really close to zero?

Complete the following table of logarithms without using a calculator; then, answer the questions that follow. log(x) log(x) 1,000,000 100,000 10,000 0.1 0.01 0.001 1000 0.0001 100 0.00001 10 0.000001 a. What is log(1)? How does that follow from the definition of a base-10 logarithm? b. What is log(10k) for an integer k? How does that follow from the definition of a base-10 logarithm? What happens to the value of log(x) as x gets really large? C. d. For x > 0, what happens to the value of log(x) as x gets really close to zero?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Complete the following table of logarithms without using a calculator; then, answer the questions that follow. log(x) log(x) 1,000, 000 0.1 100, 000 0.01 10,000 0.001 1000 0.0001 100 0.00001 10 0.000001 What is log(1)? How does that follow from the definition of a base-10 logarithm? a. b. What is log(10k) for an integer k? How does that follow from the definition of a base-10 logarithm? C. What happens to the value of log(x) as x gets really large? d. For x > 0, what happens to the value of log(x) as x gets really close to zero? O Tt A Open notes navigator
Transcribed Image Text:Complete the following table of logarithms without using a calculator; then, answer the questions that follow. log(x) log(x) 1,000, 000 0.1 100, 000 0.01 10,000 0.001 1000 0.0001 100 0.00001 10 0.000001 What is log(1)? How does that follow from the definition of a base-10 logarithm? a. b. What is log(10k) for an integer k? How does that follow from the definition of a base-10 logarithm? C. What happens to the value of log(x) as x gets really large? d. For x > 0, what happens to the value of log(x) as x gets really close to zero? O Tt A Open notes navigator
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