Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises - Page 438: 80

$t = \pm4$

$6t^{8}+18 = 393234$ $6(t^{8} + 3) = 393234$ $t^{8} + 3 = 65,539$ $t^{8} = 65,536$ $t = \pm65,536^{\frac{1}{8}}$ $t = \pm4$ Check: $6t^{8} + 18 \overset{?}{=} 393234$ $6(\pm4)^{8} + 18 \overset{?}{=} 393234$ $6(65536) + 18 \overset{?}{=} 393234$ $393216 + 18 \overset{?}{=} 393234$ $393234 = 393234$