Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises - Page 438: 77

$x = 2$

$3x^{5} + 94 = 190$ $3x^{5} = 190 - 94$ $3x^{5} = 96$ $x^{5} = 32$ $x = 32^{\frac{1}{5}}$ $x = 2$ Check: $3x^{5} + 94 \overset{?}{=} 190$ $3(2)^{5}+ 94 \overset{?}{=} 190$ $3(32) + 94 \overset{?}{=} 190$ $96 + 94 \overset{?}{=} 190$ $190 = 190$