Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises - Page 438: 92

1. Exponential equation 2. $x = 4$

1. Exponential equation The variable is the exponent. 2. Solve $8(3^{x}) + 74 = 722$ $8(3^{x}) = 722 - 74$ $8(3^{x}) = 648$ $3^{x} = 81$ $3^{x} = 3^{4}$ $x = 4$ Check: $ 8(3^{4}) + 74$ $= 8(81) + 74$ $= 648 + 74$ $= 722$