Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises - Page 438: 98

1. Exponential equation 2. $t = 2$

1. Exponential equation The variable is the exponent. 2. Solve $(\frac{1}{4})^{t} = (\frac{1}{16})$ $4^{-t} = 16^{-1}$ $4^{-t} = 4^{-2}$ $-t = -2$ $t = 2$ Check: $= (\frac{1}{4})^{2}$ $= \frac{1}{16}$