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If log5(25) = y, what is the value of y?

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Question: If log5(25) = y, what is the value of y?

Options:

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Correct Answer: 2

Solution: 

log5(25) = 2 because 5^2 = 25.

If log5(25) = y, what is the value of y?

Practice Questions

Q1
If log5(25) = y, what is the value of y?
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Questions & Step-by-Step Solutions

If log5(25) = y, what is the value of y?
  • Step 1: Understand that log5(25) means 'to what power must 5 be raised to get 25?'
  • Step 2: Recognize that 25 can be written as 5 raised to the power of 2, which is 5^2.
  • Step 3: Since 5^2 = 25, we can say that log5(25) = 2.
  • Step 4: Therefore, the value of y is 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 fundamental in solving logarithmic equations.
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