Logarithmic base 2 of 16

4

Step-by-step explanation:

Rewrite as an equation.

log 2 (16) = x

Rewrite log 2 (16) = x in exponential form using the definition of a logarithm. If x and b are positive real numbers and b does not equal 1, then log b (x)

= y which is equivalent to b (y) = x

2 x = 16

Create equivalent expressions in the equation that all have equal bases.

2 x = 2 (4)

Since the bases are the same, the two expressions are only equal if the exponents are also equal.

x = 4

The variable x is equal to 4.

log2 (16) = 4 because 2^4 = 16