Evaluate log base a of x

Problem

(log_a)(x)

Solution

1. Identify the expression as a logarithm with an arbitrary base a and an argument x

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

3. State the formula which allows the evaluation of a logarithm using a calculator or standard tables.

Final Answer

(log_a)(x)=ln(x)/ln(a)

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