#### Answer

$x=64$

#### Work Step by Step

In exponential form, the given logarithmic equation, $
\log_2 x =6
,$ is equivalent to
\begin{array}{l}\require{cancel}
x=2^6
.\end{array}
Hence, the value of the variable that satisfies the given equation is
\begin{array}{l}\require{cancel}
x=64
.\end{array}