Evaluate log base p of 64

Problem

(log_p)(64)

Solution

1. Identify the logarithmic expression to be evaluated, which is (log_p)(64)

2. Apply the definition of a logarithm, which states that (log_b)(a)=x is equivalent to bx=a

3. Express the value in terms of the base p if possible, or use the change of base formula to rewrite the expression.

4. Rewrite using the change of base formula to express the result using natural logarithms or common logarithms.

Final Answer

(log_p)(64)=ln(64)/ln(p)

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