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If log10(1) = b, what is the value of b?

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Question: If log10(1) = b, what is the value of b?

Options:

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Correct Answer: 0

Solution: 

log10(1) = 0, since 10^0 = 1.

If log10(1) = b, what is the value of b?

Practice Questions

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If log10(1) = b, what is the value of b?
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Questions & Step-by-Step Solutions

If log10(1) = b, what is the value of b?
  • Step 1: Understand what log10 means. It is asking, 'To what power do we raise 10 to get a certain number?'
  • Step 2: In this case, we want to find log10(1). This means we are looking for the power that 10 must be raised to in order to equal 1.
  • Step 3: Recall the rule of exponents: Any number raised to the power of 0 equals 1. So, 10^0 = 1.
  • Step 4: Since 10 raised to the power of 0 equals 1, we can conclude that log10(1) = 0.
  • Step 5: Therefore, we find that b = 0.
  • Logarithms – Understanding that the logarithm of a number is the exponent to which the base must be raised to produce that number.
  • Properties of Logarithms – Recognizing that log base 10 of 1 is always 0, as any number raised to the power of 0 equals 1.
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