Evaluate log base b of 2

Problem

(log_b)(2)

Solution

1. Identify the expression as a logarithm with an arbitrary base b and an argument of 2

2. Apply the change of base formula to rewrite the expression using common logarithms (base 10 or natural logarithms (base e.

3. Express the result in terms of natural logarithms, which is the standard form for evaluating such expressions.

Final Answer

(log_b)(2)=ln(2)/ln(b)

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