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What is the value of log 100? Answer:

What is the value of log⁡100? \log 100 ? \newlineAnswer:

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Full solution

Q. What is the value of log⁡100? \log 100 ? \newlineAnswer:
  1. Identify Logarithm Base: We know that log⁡100\log 100 is the same as log⁡10100\log_{10} 100 because the base of a logarithm, if not specified, is assumed to be 1010. We need to find the power to which 1010 must be raised to get 100100.
  2. Express 100100 as 10210^2: 100100 can be expressed as 1010 squared, or 10210^2. This is because 1010 multiplied by itself once is 100100.
  3. Apply Logarithmic Property: Using the property of logarithms that log⁡b(bx)=x\log_b (b^x) = x, we can say that log⁡10(102)=2\log_{10} (10^2) = 2.
  4. Calculate log⁡100\log 100: Therefore, the value of log⁡100\log 100 is 22.

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