or some numbers a and b≠0 , consider the equation ln(x)+a=ln(3x+3b) (a) Assume that a and b≠0 are such that the equation has a solution. What is then the solution x (in terms of a and b)? (b) For which a and b≠0, does the equation have a solution? In other words, for which a and b≠0 is the x that you found in part (a) really a solution to the equation?
or some numbers a and b≠0 , consider the equation ln(x)+a=ln(3x+3b) (a) Assume that a and b≠0 are such that the equation has a solution. What is then the solution x (in terms of a and b)? (b) For which a and b≠0, does the equation have a solution? In other words, for which a and b≠0 is the x that you found in part (a) really a solution to the equation?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 16E
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For some numbers a and b≠0 , consider the equation
ln(x)+a=ln(3x+3b)
(a) Assume that a and b≠0 are such that the equation has a solution. What is then the solution x (in terms of a and b)?
(b) For which a and b≠0, does the equation have a solution? In other words, for which a and b≠0 is the x that you found in part (a) really a solution to the equation?
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