Problem

Use a calculator to find the logarithm of the following: 0.0007

Answer

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Answer

Final Answer: The logarithm of 0.0007 is approximately \(\boxed{-3.1549}\)

Steps

Step 1 :The problem is asking for the logarithm of 0.0007. In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x. In the case of a calculator, it is common to use the base 10 (common logarithm) or base e (natural logarithm). The question does not specify which base to use, so we will use the common logarithm (base 10) for this calculation.

Step 2 :Let's denote the number as \( num = 0.0007 \)

Step 3 :Calculate the logarithm of the number: \( log_{num} = -3.154901959985743 \)

Step 4 :This means that 10 raised to the power of -3.1549 is approximately 0.0007.

Step 5 :Final Answer: The logarithm of 0.0007 is approximately \(\boxed{-3.1549}\)

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