If the expression is [tex]log_{2}\sqrt{x}[/tex], then the expanded form of the expression looks like (log x)/2 log 2.
Given that the expression is [tex]log_{2}\sqrt{x}[/tex].
We are required to find the expanded form of the expression.
Change of base formula is basically used when we have to find the logarithm value having different base from 10.It says that we can write[tex]log_{a}b[/tex]=log b/log a. It helps us to find various values of log with different bases.
The expression is [tex]log_{2}\sqrt{x}[/tex].
[tex]log_{2}\sqrt{x}[/tex]=[tex]log_{2}x^{1/2} }[/tex]
=logx/2 log 2.
Hence if the expression is [tex]log_{2}\sqrt{x}[/tex], then the expanded form of the expression looks like (log x)/2 log 2.
Learn more about change of base theorem at https://brainly.com/question/24788069
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