Given the logarithm equation below;
[tex]log_2\sqrt{2}[/tex]This can also be expressed as:
[tex]\begin{gathered} log_22^{\frac{1}{2}} \\ \frac{1}{2}log_22 \end{gathered}[/tex]Since;
[tex]log_22=1[/tex]Substitute
[tex]\begin{gathered} \frac{1}{2}log_22=\frac{1}{2}\times1 \\ \frac{1}{2}log_22=\frac{1}{2} \end{gathered}[/tex]Hence the value of the given log function is 1/2