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Connections between exponential functions and logarithms Let b be a positive real number with b 1. flog(x) = x for all positive a log, (b) = x for all real x Question. What exponent makes the following expression true? ● ●

Connections between exponential functions and logarithms Let b be a positive real number with b 1. flog(x) = x for all positive a log, (b) = x for all real x Question. What exponent makes the following expression true? ● ●

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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In either definition above b is called the base. Connections between exponential functions and logarithms Let b be a positive real number with b 1. ● ● blog(x) = x for all positive a log, (b) = x for all real x Question. What exponent makes the following expression true? What What can the graphs look like? Graphs of exponential functions. Example. Here we see the the graphs of four exponential functions. 3² = e 1 Y ?
Transcribed Image Text:In either definition above b is called the base. Connections between exponential functions and logarithms Let b be a positive real number with b 1. ● ● blog(x) = x for all positive a log, (b) = x for all real x Question. What exponent makes the following expression true? What What can the graphs look like? Graphs of exponential functions. Example. Here we see the the graphs of four exponential functions. 3² = e 1 Y ?
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