Evaluate log of 1/10

Problem

(log_)(1/10)

Solution

1. Identify the base of the logarithm. Since no base is specified, we assume the common logarithm with base 10

2. Rewrite the fraction using a negative exponent. The value 1/10 is equivalent to 10(−1)

3. Apply the logarithm property (log_b)(bx)=x In this case, (log_10)(10(−1))=−1

Final Answer

(log_)(1/10)=−1

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