Which of the following is the correct simplification of log_10(1000) using prope

₹0.0

Question: Which of the following is the correct simplification of log_10(1000) using properties of logarithms?

Options:

Correct Answer: 3

Solution:

log_10(1000) = log_10(10^3) = 3.

Which of the following is the correct simplification of log_10(1000) using properties of logarithms?

Which of the following is the correct simplification of log_10(1000) using properties of logarithms?

Step 1: Identify the logarithm you want to simplify: log_10(1000).
Step 2: Recognize that 1000 can be written as a power of 10: 1000 = 10^3.
Step 3: Substitute 10^3 into the logarithm: log_10(1000) becomes log_10(10^3).
Step 4: Use the property of logarithms that states log_b(a^c) = c * log_b(a). Here, log_10(10^3) simplifies to 3 * log_10(10).
Step 5: Since log_10(10) equals 1, you have 3 * 1 = 3.
Step 6: Therefore, log_10(1000) simplifies to 3.

No concepts available.