Respuesta :

the value of log4 16 is 2.
logₐ(y) = x is the same thing as [tex]a^x = y[/tex]

Logarithms asks the question "How many times do I need to raise a to get y?"

log₄(16) = x
x = 2

Test our solution.

[tex]4^2 = 16[/tex]

Our solution checks out.