Rewrite the exponential equation as a logarithmic equation.
$2^y=3.249$

• A. ${\log }_{2}3.249=y$
• B. ${\log }_{2}y=3.249$
• C. ${\log }_{3.249}y=2$
• D. ${\log }_{10}3.249=y$

Answer: (A)

Verified step by step guidance

1. Identify the given exponential equation: \(2^{y} = 3.249\).
2. Recall the definition of logarithms: if \(a^{b} = c\), then \(\log_{a} c = b\).
3. Apply this definition to rewrite the equation by taking the logarithm base 2 of both sides, which gives \(\log_{2} 3.249 = y\).
4. Confirm that the base of the logarithm matches the base of the exponential expression (which is 2 in this case).
5. Write the final logarithmic form as \(\log_{2} 3.249 = y\).