Answer :

Final answer:

To evaluate the expression 6.25 × 23.83 in logarithmic form, we can use the base 10 logarithm and convert the multiplication into an addition of logarithms.


Explanation:

To evaluate the expression 6.25 × 23.83 in logarithmic form, we need to use the properties of logarithms. The logarithmic form converts the multiplication of two numbers into an addition of their logarithms. We can use the base 10 logarithm (log) or the natural logarithm (ln), depending on the context. Let's use the base 10 logarithm as an example:

  1. Take the logarithm of each number: log(6.25) + log(23.83).
  2. Use calculator or logarithm tables to find the logarithms: log(6.25) ≈ 0.7959 and log(23.83) ≈ 1.3767.
  3. Add the logarithms together: 0.7959 + 1.3767 ≈ 2.1726.

Therefore, 6.25 × 23.83 in logarithmic form is approximately 2.1726.


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