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Big Ideas Math Integrated I, 2016 View details

4. Solving Exponential Equations

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Exercise 4 Page 299

When two functions intersect, the common points have the same y-values.

See solution.

Practice makes perfect

Let's consider an exponential equation where the left-hand side is an exponential function and the right-hand side is a linear function. ab^x = mx+ c We can solve an equation like this by graphing. To do this, we should graph both functions together. At the intersection points, both functions have the same y-value, and thus, the corresponding x-value satisfies the equation. Therefore, the x-coordinates of the intersection points are the solutions to the equation.