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If log7(x) = 3, what is the value of x?

Practice Questions

Q1
If log7(x) = 3, what is the value of x?
  1. 49
  2. 21
  3. 7
  4. 14

Questions & Step-by-Step Solutions

If log7(x) = 3, what is the value of x?
Correct Answer: 343
  • Step 1: Understand that log7(x) = 3 means that 7 raised to the power of 3 equals x.
  • Step 2: Write the equation in exponential form: x = 7^3.
  • Step 3: Calculate 7^3, which means 7 multiplied by itself 3 times: 7 * 7 * 7.
  • Step 4: First, calculate 7 * 7 = 49.
  • Step 5: Now, multiply 49 by 7: 49 * 7 = 343.
  • Step 6: Therefore, the value of x is 343.
  • Logarithms – Understanding the relationship between logarithms and exponents, specifically that if log_b(a) = c, then a = b^c.
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