Answer
$x = 7$
Work Step by Step
$2500(\frac{1}{5})^{x} = 0.032$
$(\frac{1}{5})^{x} = \frac{0.032}{2500}$
$x = \log_{\frac{1}{5}} (\frac{0.032}{2500})$
by GDC / calculator
$x = 7$
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