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

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

Options:

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Correct Answer: 2

Solution: 

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

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

Practice Questions

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

If log7(49) = c, what is the value of c?
  • Step 1: Understand that log7(49) means '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, the value of c is 2.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to express a number as a power of a base.
  • Base and Argument – Recognizing the base of the logarithm (7 in this case) and the argument (49) to determine the exponent that relates them.
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