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If log7(x) = 2, what is the value of x?

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Question: If log7(x) = 2, what is the value of x?

Options:

  1. 14
  2. 28
  3. 49
  4. 56

Correct Answer: 49

Solution: 

x = 7^2 = 49.

If log7(x) = 2, what is the value of x?

Practice Questions

Q1
If log7(x) = 2, what is the value of x?
  1. 14
  2. 28
  3. 49
  4. 56

Questions & Step-by-Step Solutions

If log7(x) = 2, what is the value of x?
Correct Answer: 49
  • Step 1: Understand that log7(x) = 2 means that 7 raised to the power of 2 equals x.
  • Step 2: Write the equation in exponential form: x = 7^2.
  • Step 3: Calculate 7^2, which is 7 multiplied by itself (7 * 7).
  • Step 4: Find the result of 7 * 7, which is 49.
  • Step 5: Conclude that the value of x is 49.
  • Logarithms – Understanding the relationship between logarithms and exponents, specifically that if log_b(a) = c, then a = b^c.
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