The value of 16log2 3 is

Explanation:

The expression 16log2 3 s is an example of an exponential function where the base is 16 and the exponent is log₂ 3.

The log2 3 part is a logarithm in base 2. The logarithm of a number is the exponent to which the base must be raised to get that number. So, log2 3 means "What power do you need to raise 2 to in order to get 3".

Now, let's simplify the expression. We know that 16 is equal to 2⁴ . So, we can rewrite the expression as (24)^log2 3.

The log2 3 part is still the exponent to which 2 must be raised to get 3. So 4.log₂3 means "what power do you need to raise 2 to in order to get 3, and then multiply that power by 4.

so finally,(24)log2 3 = 3⁴ = 81.