Which of the following is equivalent to log_10(1000)?

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Question: Which of the following is equivalent to log_10(1000)?

Options:

Correct Answer: 3

Solution:

Since 1000 is 10^3, log_10(1000) equals 3.

Which of the following is equivalent to log_10(1000)?

Which of the following is equivalent to log_10(1000)?

Step 1: Understand what log_10(1000) means. It asks, 'To what power do we raise 10 to get 1000?'
Step 2: Rewrite 1000 as a power of 10. We know that 1000 is the same as 10 raised to the power of 3 (10^3).
Step 3: Substitute 10^3 into the logarithm. Now we have log_10(10^3).
Step 4: Use the property of logarithms that says log_b(b^x) = x. Here, b is 10 and x is 3.
Step 5: Therefore, log_10(10^3) equals 3.

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