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If 10^x = 0.01, what is the value of x?

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Question: If 10^x = 0.01, what is the value of x?

Options:

  1. -2
  2. -1
  3. 0
  4. 1

Correct Answer: -2

Solution: 

Since 0.01 = 10^(-2), we have x = -2.

If 10^x = 0.01, what is the value of x?

Practice Questions

Q1
If 10^x = 0.01, what is the value of x?
  1. -2
  2. -1
  3. 0
  4. 1

Questions & Step-by-Step Solutions

If 10^x = 0.01, what is the value of x?
  • Step 1: Understand the equation 10^x = 0.01.
  • Step 2: Rewrite 0.01 in terms of a power of 10.
  • Step 3: Recognize that 0.01 is the same as 10 raised to the power of -2 (0.01 = 10^(-2)).
  • Step 4: Set the exponents equal to each other since the bases (10) are the same: x = -2.
  • Step 5: Conclude that the value of x is -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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