Answer:
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
.
