Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises - Page 438: 94

1. Power equation 2. $x \approx -2.98$

1. Power equation The variable is raised to the power of a number. 2. Solve $14 - 7.8x^{5} = 1836.5$ $-7.8x^{5} = 1836.5 - 14$ $-7.8x^{5} = 1822.5$ $x^{5} = -233.6538...$ $x = (-233.6538...)^{\frac{1}{5}}$ by GDC / calculator $x= -2.97655...$ $x \approx -2.98$ Check: $ 14 - 7.8(-2.976...)^{5}$ $= 14 - 7.8(-233.6538...)$ $= 14 + 1822.5$ $= 1836.5$