Question

Simplify your answer log₂√2=

Answer 1

`log_2√(2)=(1)/(2)`

Explanations:

Given the logarithm equation below;

`log_2√(2)`

This can also be expressed as:

`\begin{gathered} log_22^{(1)/(2)} \\ (1)/(2)log_22 \end{gathered}`

Since;

`log_22=1`

Substitute

`\begin{gathered} (1)/(2)log_22=(1)/(2)*1 \\ (1)/(2)log_22=(1)/(2) \end{gathered}`

Hence the value of the given log function is 1/2