If ${\log }_2(x)=5$, then the value of $x$ is

Solution

1. The equation is given as ${\log }_2(x)=5$.
2. By the definition of logarithms, ${\log }_b(a)=c$ is equivalent to $b^c=a$.
3. Apply this to the given equation to get $x=2^5$.
4. Calculate $2^5=32$.
5. Hence the answer is (C).