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If log7(49) = b, what is the value of b?

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Question: If log7(49) = b, what is the value of b?

Options:

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Correct Answer: 2

Solution: 

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

If log7(49) = b, what is the value of b?

Practice Questions

Q1
If log7(49) = b, what is the value of b?
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Questions & Step-by-Step Solutions

If log7(49) = b, what is the value of b?
  • Step 1: Understand what log7(49) means. It asks, 'To what power must 7 be raised to get 49?'
  • Step 2: Think about the powers of 7. We know that 7^1 = 7 and 7^2 = 49.
  • Step 3: Since 7 raised to the power of 2 equals 49, we can say that log7(49) = 2.
  • Step 4: Therefore, we conclude that b = 2.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to interpret log base and its argument.
  • Exponents – Recognizing that if log_b(a) = c, then b^c = a, which is essential for solving logarithmic equations.
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