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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? ● ●

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 58SE: Recall that an exponential function is any equationwritten in the form f(x)=abx such that a and b...
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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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