Evaluate log of 4

Problem

(log_)(4)

Solution

1. Identify the base of the logarithm. In most contexts where the base is not specified, (log_)() refers to the common logarithm with base 10

2. Rewrite the argument as a power of a prime number. Since 4=2 we can rewrite the expression.

(log_)(4)=(log_)(2)

3. Apply the power rule for logarithms, which states (log_b)(xn)=n*(log_b)(x)

(log_)(2)=2*(log_)(2)

4. Substitute the approximate value of (log_)(2)≈0.30103

2×0.30103=0.60206

Final Answer

(log_)(4)≈0.60206

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