For this case we have that by defining logarithm properties, it is true that:
[tex]log_ {b} (a) = c[/tex] is equivalent to [tex]b ^ c = a[/tex]
So, if we have the following expression:
[tex]4 ^ 2 = 16\\b = 4\\c = 2\\a = 16[/tex]
We rewrite it as:
[tex]log_ {4} (16) = 2[/tex]
Answer:
The equivalent expression is:
[tex]log_ {4} (16) = 2[/tex]