Answer
$t = 2$
Work Step by Step
$7^{t} + 8 = 57$
$7^{t} = 57 - 8$
$7^{t} = 49$
$7^{t} = 7^{2}$
$t = 2$
Check:
$ 7^{t} + 8$
$= 7^{2} + 8 $
$= 49 + 8$
$= 57$
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