#### Answer

$11^{\frac{1}{4}}=\sqrt[4] 11$

#### Work Step by Step

We know that if $b\gt0$ and $b\ne1$, then $y=log_{b}x$ is equivalent to $x=b^{y}$ (where $x\gt0$ and $y$ is a real number).
Therefore, $log_{11}\sqrt[4] 11=\frac{1}{4}$ can be written as the exponential equation $11^{\frac{1}{4}}=\sqrt[4] 11$.