We want an exponential equation of the form y = Abx, (b > 0). We need to find the numbers A and b that make the equation true for the coordinates (1, 5) and (3, 35).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.5: Exponential And Logarithmic Equations
Problem 1E: Lets solve the exponential equation 2ex=50. a First, we isolate ex to get the equivalent equation...
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We want an exponential equation of the form y = Abx, (b > 0). We need to find the numbers A and b that make the equation true for the coordinates (1, 5) and (3, 35).
 
First, substitute the values in coordinate (1, 5) for x and y.
 
y  =  Abx
 
?  =  Ab1
 
Next, substitute the values in coordinate (3, 35) for x and y.
 
y  =  Abx
 
?  =  Ab3
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