Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises - Page 438: 91

1. Exponential equation 2. $x = 3$

1. Exponential equation The variable is the exponent. 2. Solve $3(4^{x}) + 20 = 212$ $3(4^{x}) = 212 - 20$ $3(4^{x}) = 192$ $4^{x} = 64$ $4^{x} = 4^{3}$ $x = 3$ Check: $ 3(4^{x}) + 20$ $= 3(4^{3}) + 20$ $= 3(64) + 20$ $= 192 + 20$ $= 212$