Answer :

Given:

The logarithmic expression is given as,

[tex]4\log _2(12)[/tex]

The objective is to evaluate the following expression.

Explanation:

The value of the expression, using logarithm of base 2 can be calculated as,

[tex]\begin{gathered} 4\log _2(12)=4(3.585) \\ =14.34 \end{gathered}[/tex]

Hence, the value of the expression is 14.34.