Evaluate log base 8 of 8^17

Problem

(log_8)(8)

Solution

1. Identify the logarithmic property for powers, which states that (log_b)(bx)=x

2. Apply the property to the given expression where the base b is 8 and the exponent x is 17

3. Simplify the expression by recognizing that the logarithm and the exponential function with the same base are inverse operations.

Final Answer

(log_8)(8)=17

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