Respuesta :

Answer:

negative 4

hope this helps :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{log_2 \dfrac{1}{16}}[/tex]

[tex]\huge\textbf{Let's assume that \boxed{p} will be your}\\\huge\textbf{mystery number in this question.}[/tex]

[tex]\huge\textbf{This is what I meant:}[/tex]

[tex]\mathsf{p = log_2 \dfrac{1}{16}}[/tex]

[tex]\huge\textbf{Now, let's simplify the equation, shall}\\\huge\textbf{we?}[/tex]

[tex]\mathsf{p = log_2 \dfrac{1}{16}}[/tex]

[tex]\mathsf{\rightarrow p = -log_2 \times 16}[/tex]

[tex]\mathsf{\rightarrow -p = log_2 \times 16}[/tex]

[tex]\mathsf{= log_2 \times 2^4}[/tex]

[tex]\mathsf{=4 \ log_2\times 2}[/tex]

[tex]\mathsf{= 4 = 4\times1}[/tex]

[tex]\textsf{Therefore, p should be equal to}\rightarrow\mathsf{-4}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{2^{-4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

ACCESS MORE