Evaluate log of 2

Problem

(log_)(2)

Solution

1. Identify the base of the logarithm. In most mathematical contexts, (log_)(x) refers to the common logarithm with base 10, denoted as (log_10)(2)

2. Apply the definition of the common logarithm to find the power to which 10 must be raised to equal 2.

3. Calculate the numerical value using a calculator or logarithm table. The value is an irrational number.

4. Round the result to a standard number of decimal places, typically four.

Final Answer

(log_)(2)≈0.3010

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