Respuesta :

Answer:

[tex]log_2\sqrt{2}=\frac{1}{2}[/tex]

Explanations:

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