Explanation Given: The logarithmic equation log 2 7 = x Definition of logarithm: For m > 0 and b > 0 , b ≠ 0 , log b m = n is equivalent to m = b n . To change from logarithmic form to exponential form, identify the base of the logarithmic equation and move the base to the other side of the equal sign. Moving the base will make the current number or variable into the exponent. We should not move anything other than the base, the other numbers or variables will not change sides and the word “log” will be dropped. If we have a logarithmic equation of the form log b m = n , then the equivalent equation in exponential form is given by m = b n log 2 7 = x ︸ L O G A R I T H M I C E Q U A T I O N ⇒ 7 = 2 x ︸ E X P O N E N T I A L E Q U A T I O N <

18th Edition

ISBN: 9781260784626

Author: Miller

Publisher: MCGRAW-HILL HIGHER EDUCATION

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Chapter 8.4, Problem 20PE

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The exponential form of given logarithmic equation

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