Answer
$x=\frac{1}{2}$
Work Step by Step
If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x\gt0$ and every real number $y$.
Therefore, $log_{49}7=x$ is equivalent to $49^{x}=7$.
We know that $x=\frac{1}{2}$, because $49^{\frac{1}{2}}=\sqrt 49=7$.
