Evaluate 5^( log base 5 of 6)

Problem

5

Solution

1. Identify the structure of the expression as an exponential with a base b raised to a logarithm with the same base b

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

3. Substitute the values b=5 and x=6 into the property to find the result.

Final Answer

5=6

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