Convert to Logarithmic Form 10^-3=0.001

Problem

10^(−3)=0.001

Solution

1. Identify the base, the exponent, and the result in the given exponential equation b^y=x

2. Recognize that the base b is 10 the exponent y is −3 and the result x is 0.001

3. Apply the definition of a logarithm, which states that b^y=x is equivalent to (log_b)(x)=y

4. Substitute the values into the logarithmic form to get (log_10)(0.001)=−3

Final Answer

(log_10)(0.001)=−3

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