Answer
$\displaystyle x=\frac{13}{2}$
Work Step by Step
We solve:
$\sqrt[4]{2x+3}=2$
$(\sqrt[4]{2x+3})^{4}=2^{4}$
$2x+3=16$
$2x=16-3=13$
$\displaystyle x=\frac{13}{2}$
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