Evaluate log base p of 21

Problem

(log_p)(21)

Solution

1. Identify the expression as a logarithm with a variable base p and an argument of 21

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

3. Express the result using the natural logarithm ln(x) for a standard mathematical form.

4. Conclude that without a specific value for p the expression is simplified to its change-of-base form.

Final Answer

(log_p)(21)=ln(21)/ln(p)

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