Problem

Use a calculator to find the common logarithm. $\log (-36)$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The answer is (Round to four decimal places as needed.) B. The answer does not exist.

Solution

Step 1 :Use a calculator to find the common logarithm. \(\log (-36)\)

Step 2 :The common logarithm, also known as the base 10 logarithm, is undefined for negative numbers. This is because the logarithm function is the inverse of the exponential function, and the exponential function with base 10 only takes positive values. Therefore, the logarithm of a negative number does not exist in the real number system.

Step 3 :Final Answer: \(\boxed{\text{The correct choice is B. The answer does not exist.}}\)

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Source: https://solvelyapp.com/problems/joTwR6BJX1/

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