Select the correct answer.What is the value of this logarithmic expression?log2⁡16−log2⁡4 A. 6 B. 3.58 C. 0.60 D. 2

Sure, let's solve the logarithmic expression step by step.

The given expression is: $\log_2 16 - \log_2 4$

Step 1: Use the logarithm subtraction rule. The rule states that $\log_b a - \log_b c = \log_b \left(\frac{a}{c}\right)$.

So, $\log_2 16 - \log_2 4 = \log_2 \left(\frac{16}{4}\right)$

Step 2: Simplify the fraction inside the logarithm. $\frac{16}{4} = 4$

So, $\log_2 \left(\frac{16}{4}\right) = \log_2 4$

Step 3: Evaluate the logarithm. We need to find the power to which 2 must be raised to get 4. In other words, solve for $x$ in the equation: $2^x = 4$

Since $2^2 = 4$, $x = 2$

Therefore, $\log_2 4 = 2$

So, the value of the expression $\log_2 16 - \log_2 4$ is: $\boxed{2}$

The correct answer is D. 2