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If log_10(10^x) = 2, what is the value of x? (2023)

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Question: If log_10(10^x) = 2, what is the value of x? (2023)

Options:

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Correct Answer: 2

Exam Year: 2023

Solution: 

log_10(10^x) = x. Therefore, x = 2.

If log_10(10^x) = 2, what is the value of x? (2023)

Practice Questions

Q1
If log_10(10^x) = 2, what is the value of x? (2023)
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Questions & Step-by-Step Solutions

If log_10(10^x) = 2, what is the value of x? (2023)
  • Step 1: Understand the equation log_10(10^x) = 2.
  • Step 2: Recall the property of logarithms: log_b(b^y) = y. Here, b is 10 and y is x.
  • Step 3: Apply the property: log_10(10^x) simplifies to x.
  • Step 4: Now, rewrite the equation: x = 2.
  • Step 5: Therefore, the value of x is 2.
  • Logarithmic Properties – Understanding that the logarithm of a number to its own base equals the exponent.
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