The variables x and y have an exponential relationship, one of the form y = Suppose that we also have the following table of values for x and y: We'll use these two data points to solve for C and a. Step 1: Solving for a. Point X y Point 1 2.7 27 Point 2 4.7 53 2 If we divide the equation y2 = Use the values from the table to make an equation involving only a: a = (Round these and all answers to 2 significant digits.) Solve this equation for a: Ca2 by the equation y₁ = Ca¹, we get the equation = a to the power Step 2: Solving for C. Substitute the value of a you found into the equation y₁ = = C. Solve this equation for C: C = = C.a. Y2 Y1 - x1 C. • a*¹ to get an equation involving only C:

The variables x and y have an exponential relationship, one of the form y = Suppose that we also have the following table of values for x and y: We'll use these two data points to solve for C and a. Step 1: Solving for a. Point X y Point 1 2.7 27 Point 2 4.7 53 2 If we divide the equation y2 = Use the values from the table to make an equation involving only a: a = (Round these and all answers to 2 significant digits.) Solve this equation for a: Ca2 by the equation y₁ = Ca¹, we get the equation = a to the power Step 2: Solving for C. Substitute the value of a you found into the equation y₁ = = C. Solve this equation for C: C = = C.a. Y2 Y1 - x1 C. • a*¹ to get an equation involving only C:

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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