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Evaluate. Round your answer to the nearest thousandth.\newlinelog⁡550=\log_{5}50 = ____

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Full solution

Q. Evaluate. Round your answer to the nearest thousandth.\newlinelog⁡550=\log_{5}50 = ____
  1. Assuming base 1010 logarithm: To solve for log⁡(550)\log(550), we can use a scientific calculator or logarithm table. Since the base is not specified, we assume it is base 1010 (common logarithm).
  2. Using a scientific calculator: Using a scientific calculator, we input 550550 and press the log button to find the value of log⁡(550)\log(550).
  3. Finding the value of log⁡(550)\log(550): The calculator shows the value of log⁡(550)\log(550) as approximately 2.740362689494242.74036268949424.
  4. Rounding to the nearest thousandth: We need to round this value to the nearest thousandth. To do this, we look at the fourth decimal place, which is a 66. Since it is 55 or greater, we round the third decimal place up from 22 to 33.
  5. Final rounded value of log⁡(550)\log(550): Therefore, the rounded value of log⁡(550)\log(550) to the nearest thousandth is 2.7402.740.

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