Problem

Translate the logarithmic statement into an equivalent exponential statement. \[ \log 0.01=-2 \]

Solution

Step 1 :Translate the logarithmic statement into an equivalent exponential statement: \(\log 0.01=-2\).

Step 2 :The logarithm base 10 of a number is the exponent to which 10 must be raised to get that number. So, in this case, the base is 10, the exponent is -2, and the number is 0.01.

Step 3 :Therefore, the equivalent exponential statement is \(10^{-2} = 0.01\).

Step 4 :Final Answer: The equivalent exponential statement of the logarithmic statement \(\log 0.01=-2\) is \(\boxed{10^{-2} = 0.01}\).

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Source: https://solvelyapp.com/problems/vkCRyA03g9/

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