Which of the following expressions is equivalent to log_10(100) + log_10(10)?

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Question: Which of the following expressions is equivalent to log_10(100) + log_10(10)?

Options:

Correct Answer: 5

Solution:

log_10(100) = 2 and log_10(10) = 1, so 2 + 1 = 3.

Which of the following expressions is equivalent to log_10(100) + log_10(10)?

Which of the following expressions is equivalent to log_10(100) + log_10(10)?

Step 1: Understand that log_10(100) means 'to what power do we raise 10 to get 100?'.
Step 2: Since 10^2 = 100, we find that log_10(100) = 2.
Step 3: Next, understand that log_10(10) means 'to what power do we raise 10 to get 10?'.
Step 4: Since 10^1 = 10, we find that log_10(10) = 1.
Step 5: Now, add the two results together: 2 + 1.
Step 6: The final answer is 3.

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