Question

Find the value of \( \log_2 32 \).

• A. \( 5 \)
• B. \( 4 \)
• C. \( 3 \)
• D. \( 6 \)

Hint:

Remember: To evaluate logarithms, express the number as a power of the same base and equate the exponents.

Answer 1

The Correct Option is A

Step 1: Recall the logarithmic identity
We are asked to find \( \log_2 32 \).
The logarithmic identity \( \log_b x = y \) means that \( b^y = x \). In this case, \( \log_2 32 = y \) means that \( 2^y = 32 \).
Step 2: Express 32 as a power of 2
We know that: \[ 32 = 2^5 \] Thus, the equation becomes: \[ 2^y = 2^5 \] Step 3: Solve for \( y \)
Since the bases are the same, we can equate the exponents: \[ y = 5 \] Answer: Therefore, \( \log_2 32 = 5 \). So, the correct answer is option (1).