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If 10^(x) = 1000, what is the value of x? (2023)

Practice Questions

Q1
If 10^(x) = 1000, what is the value of x? (2023)
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Questions & Step-by-Step Solutions

If 10^(x) = 1000, what is the value of x? (2023)
  • Step 1: Start with the equation 10^(x) = 1000.
  • Step 2: Recognize that 1000 can be rewritten as a power of 10. Specifically, 1000 = 10^3.
  • Step 3: Now, rewrite the equation using this new information: 10^(x) = 10^3.
  • Step 4: Since the bases (10) are the same on both sides of the equation, we can set the exponents equal to each other: x = 3.
  • Step 5: Therefore, the value of x is 3.
  • Exponential Equations – Understanding how to manipulate and solve equations involving exponents.
  • Logarithmic Relationships – Recognizing the relationship between exponents and logarithms, particularly in base 10.
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