Problem

Find $\log 0.9$ rounded to the nearest hundredth.

Answer

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Answer

Final Answer: \(\boxed{-0.05}\)

Steps

Step 1 :The problem is asking for the logarithm of 0.9. 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, must be raised to produce that number x. In this case, the base is not specified, so we will assume it's 10 (common logarithm).

Step 2 :Calculate the logarithm of 0.9, which is approximately -0.045757490560675115.

Step 3 :Round this value to the nearest hundredth, which gives us -0.05.

Step 4 :Final Answer: \(\boxed{-0.05}\)

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