Solving Exponential Equations Reducible to Quadratics

#quadraticequations #exponentialequations #quadratics

In this video, we look at how to solve exponential equations that are reducible to quadratic equations.

In general, to reduce an exponential equation to a quadratic equation, we use the index law to modify one of the terms to a common prime base.

We then make the u-substitution to reduce it to a quadratic which then an be solved using any of the methods - PSF (Product Sum Factors) factorising method, completing the square or quadratic formula.

The examples in this video are, solve:

4^x - 9*(2^x) + 8 = 0
9^x - 26(3^x) - 27 = 0