Evaluate ( log of 46)/( log of p)

Problem

(log_)(46)/(log_)(p)

Solution

1. Identify the expression as a quotient of two logarithms with the same implicit base.

2. Apply the change of base formula, which states that (log_b)(a)/(log_b)(c)=(log_c)(a)

3. Rewrite the expression by setting the argument of the numerator as the new argument and the argument of the denominator as the new base.

Final Answer

(log_)(46)/(log_)(p)=(log_p)(46)

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