Logarithms

Step 1: Rewriting the given equation.
We are given . This equation can be rewritten using the logarithmic power rule: So, the equation becomes:

Step 2: Solving for .
To solve for , divide both sides of the equation by 16:

Step 3: Converting the logarithmic form to exponential form.
From the equation , we can rewrite it in exponential form:

Step 4: Solving for .
Rewriting the equation: Taking the square root of both sides:

Step 5: Conclusion.
Therefore, the correct value of is . The answer is 2.