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If log10(10^5) = x, what is the value of x?

Practice Questions

Q1
If log10(10^5) = x, what is the value of x?
  1. 1
  2. 2
  3. 5
  4. 10

Questions & Step-by-Step Solutions

If log10(10^5) = x, what is the value of x?
  • Step 1: Understand what log10 means. It is asking for the power to which 10 must be raised to get a certain number.
  • Step 2: Look at the expression log10(10^5). Here, we have 10 raised to the power of 5.
  • Step 3: Rewrite the expression: log10(10^5) asks, '10 raised to what power equals 10^5?'
  • Step 4: Since 10^5 is already in the form of 10 raised to a power, we can see that the answer is simply the exponent, which is 5.
  • Step 5: Therefore, we conclude that log10(10^5) = 5, so x = 5.
  • Logarithmic Identity – The logarithm of a number to its own base is equal to the exponent.
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