Answer
$x = -0.598$
Work Step by Step
$-7(0.8)^{x} + 10 = 2$
$-7(0.8)^{x} = 2 - 10$
$-7(0.8)^{x} = -8$
$(0.8)^{x} = \frac{8}{7}$
$x = \log_{0.8} (\frac{8}{7})$
$x = \frac{\log (\frac{8}{7})}{\log 0.8}$
$x = -0.59841...$
$x = -0.598$
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