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If log3(27) = z, what is the value of z?

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Question: If log3(27) = z, what is the value of z?

Options:

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Correct Answer: 3

Solution:

log3(27) = 3, since 3^3 = 27.

If log3(27) = z, what is the value of z?

Practice Questions

Q1
If log3(27) = z, what is the value of z?
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Questions & Step-by-Step Solutions

If log3(27) = z, what is the value of z?
  • Step 1: Understand that log3(27) means 'to what power must 3 be raised to get 27?'
  • Step 2: Rewrite 27 as a power of 3. We know that 3^3 = 27.
  • Step 3: Since 3 raised to the power of 3 equals 27, we can say that log3(27) = 3.
  • Step 4: Therefore, the value of z is 3.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to evaluate logarithms with a given base.
  • Exponential Equations – Recognizing that if log_b(a) = c, then b^c = a, which helps in solving logarithmic equations.
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