Evaluate log of 5

Problem

(log_)(5)

Solution

1. Identify the base of the logarithm. In most mathematical contexts, (log_)(x) without a specified base refers to the common logarithm (base 10), though in higher mathematics it can refer to the natural logarithm (base e. Assuming the common logarithm: (log_10)(5)

2. Apply the definition of a logarithm. We are looking for the exponent y such that 10=5

3. Approximate the value using a calculator or logarithmic tables, as 5 is not an integer power of 10.

4. Calculate the numerical value.

(log_10)(5)≈0.69897

Final Answer

(log_)(5)≈0.69897

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