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What is the value of log7(49)?

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Question: What is the value of log7(49)?

Options:

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Correct Answer: 2

Solution: 

log7(49) = log7(7^2) = 2.

What is the value of log7(49)?

Practice Questions

Q1
What is the value of log7(49)?
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Questions & Step-by-Step Solutions

What is the value of log7(49)?
Correct Answer: 2
  • Step 1: Identify the base of the logarithm, which is 7 in this case.
  • Step 2: Identify the number we are taking the logarithm of, which is 49.
  • Step 3: Rewrite 49 as a power of 7. Since 49 is equal to 7 squared (7^2), we can write it as log7(7^2).
  • Step 4: Use the property of logarithms that states log_b(a^c) = c * log_b(a). Here, a is 7 and c is 2.
  • Step 5: Since log7(7) equals 1 (because 7 to the power of 1 is 7), we can simplify log7(7^2) to 2 * log7(7).
  • Step 6: Therefore, log7(49) = 2 * 1 = 2.
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