# How do you solve 20^(x^2)=70?

Dec 16, 2016

$x = \pm 1.1909$
$\log {20}^{{x}^{2}} = \log 70$
${x}^{2} \log 20 = \log 70$
${x}^{2} = \log \frac{70}{\log} 20 = 1.418182 \ldots .$
$x = \pm 1.1909$ (4 decimal place)
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