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If 10^(x+1) = 1000, what is the value of x?

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Question: If 10^(x+1) = 1000, what is the value of x?

Options:

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  2. 2
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Correct Answer: 2

Solution: 

1000 can be expressed as 10^3, so x + 1 = 3, leading to x = 2.

If 10^(x+1) = 1000, what is the value of x?

Practice Questions

Q1
If 10^(x+1) = 1000, what is the value of x?
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Questions & Step-by-Step Solutions

If 10^(x+1) = 1000, what is the value of x?
  • Step 1: Start with the equation 10^(x+1) = 1000.
  • Step 2: Recognize that 1000 can be written as 10^3.
  • Step 3: Rewrite the equation as 10^(x+1) = 10^3.
  • Step 4: Since the bases (10) are the same, set the exponents equal: x + 1 = 3.
  • Step 5: Solve for x by subtracting 1 from both sides: x = 3 - 1.
  • Step 6: Calculate the result: x = 2.
  • Exponential Equations – Understanding how to manipulate and solve equations involving exponents.
  • Logarithmic Relationships – Recognizing the relationship between exponential forms and their logarithmic equivalents.
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