Evaluate log of 1/10000

Problem

(log_)(1/10000)

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 as a power of 10 by noting that 10000=10^4

3. Apply the rule for negative exponents, which states that 1/10^4=10^(−4)

4. Use the logarithm property (log_b)(b^x)=x to evaluate the expression.

Final Answer

(log_)(1/10000)=−4

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