Answer
$c = 3$
Work Step by Step
$3^{c} + 5 = 32$
$3^{c} = 32 -5$
$3^{c} = 27$
$3^{c} = 3^{3}$
$c = 3$
Check:
$ 3^{c} + 5$
$= 3^{3} + 5$
$= 27 + 5$
$ = 32$
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