### Home > CCA > Chapter 10 > Lesson 10.2.1 > Problem 10-33

10-33.

Find the equation of the exponential function *y* = *ab ^{x}* passing through the points (2, 3.84) and (3, 3.072).

*10-33 HW eTool*(Desmos). Homework Help ✎

Substitute the points into the equation.

3.84 = *ab*^{2}

3.072 = *ab*^{3}

Solve 3.84 = *ab*^{2} for *a*, then substitute that into the other equation and solve for *b*.

Once you have solved for *b*, substitute that value back into one of the original equations and solve for *a*.

Check your work using the eTool below. Does your equation pass through the two points plotted on the graph?

Click on the link at right for the full eTool version: CCA 10-33 HW eTool