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 7^1=7 7^2=49 and 7^3=343

3. Substitute the power into the expression:

(log_7)(7^3)

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

(log_7)(7^3)=3

Final Answer

(log_7)(343)=3

Want more problems? Check here!