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If log_3(27) = x, what is the value of x?

Practice Questions

Q1
If log_3(27) = x, what is the value of x?
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Questions & Step-by-Step Solutions

If log_3(27) = x, what is the value of x?
  • Step 1: Understand that log_3(27) means 'to what power must 3 be raised to get 27?'
  • Step 2: Rewrite 27 as a power of 3. We know that 27 = 3^3.
  • Step 3: Now we can say log_3(27) = log_3(3^3).
  • Step 4: Use the property of logarithms that states log_b(b^a) = a. Here, b is 3 and a is 3.
  • Step 5: Therefore, log_3(3^3) = 3.
  • Step 6: Conclude that x = 3.
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