Solve for $x$. \[ \log _{2} x=4 \] Simplify your answer as much as possible. \[ x=\square \] $\square \log \square$

Step 1 ：To solve for x, we need to convert the logarithmic equation to an exponential equation. The base of the logarithm becomes the base of the power, the result of the logarithm becomes the exponent, and x is the result of the power. So, the equation becomes 2 to the power of 4 equals x.

Step 2 ：base = 2, exponent = 4

Step 3 ：x = \(2^{4}\)

Step 4 ：x = 16.0

Step 5 ：Final Answer: \(x=\boxed{16}\)