Evaluate log base 7 of 343

Problem

(log_7)(343)

Solution

1. Identify the base and the argument of the logarithm. The base is 7 and the argument is 343

2. Rewrite the argument as a power of the base. We check powers of 7 7=7 7=49 and 7=343

3. Substitute the power into the expression:

(log_7)(7)

4. Apply the logarithm power rule (log_b)(bx)=x to simplify the expression.

(log_7)(7)=3

Final Answer

(log_7)(343)=3

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