Question11. Find the value of $x$. $$x^{\log _{2} 7}=7$$

Studdy Solution
Since $\log_{2} 7$ is a common factor on both sides, divide both sides by $\log_{2} 7$ to isolate $\log_{2} x$:
$$\log_{2} x = 1$$
Convert the logarithmic equation to its exponential form to solve for $x$:
$$x = 2^1$$
$$x = 2$$
The value of $x$ is:
$$\boxed{2}$$