Evaluate 8^( log base 8 of 6)

Problem

8

Solution

1. Identify the structure of the expression, which is in the form b(log_b)(x)

2. Apply the inverse property of logarithms, which states that b(log_b)(x)=x for any base b>0 and b≠1

3. Substitute the given values b=8 and x=6 into the property to find the result.

Final Answer

8=6

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