Given:
[tex]\log_2x=6[/tex]Required:
To find the value of x.
Explanation:
We know that
[tex]\begin{gathered} \log_ax=b \\ \\ x=a^b \end{gathered}[/tex]Consider
[tex]\begin{gathered} \log_2x=6 \\ \\ x=2^6 \\ \\ x=64 \end{gathered}[/tex]Final Answer:
[tex]x=64[/tex]