# How do you solve 2^(x−4)+10=22?

$x \approx 7.5849625$
${2}^{x - 4} + 10 = 22$
$\implies {2}^{x - 4} = 12$
$\implies x - 4 = \log \frac{12}{\log} \left(2\right)$
$\implies x = {\log}_{2} \left(12\right) + 4$
$\implies x \approx 7.5849625$