Evaluate log base 7 of 3

Problem

(log_7)(3)

Solution

1. Identify the expression as a logarithm with base 7 and argument 3

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

3. Substitute the formula (log_b)(a)=ln(a)/ln(b)

4. Calculate the numerical value if a decimal approximation is required, or leave it in exact form.

Final Answer

(log_7)(3)=ln(3)/ln(7)

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