Question

Find the value of $ \log_2 32 $.

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

Hint:

Remember: When solving logarithmic equations, express the number as a power of the same base to easily find the solution.

Answer 1

The Correct Option is A

Step 1: Recall the logarithmic identity
We are asked to find the value of \( \log_2 32 \). Recall that 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).