Answer
$x = 1.14$
Work Step by Step
$5^{4x+2} = 37,500$
$\log_5 37,500 = 4x + 2$
$\log_5 37,500 - 2 = 4x$
$x = \frac{\log_5 37,500 - 2 }{4}$
by GDC / calculator
$x = 1.14$
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