Evaluate 5^( log base 5 of 25)

Problem

5

Solution

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

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

3. Substitute the values from the expression where b=5 and x=25

4. Conclude that the base of the exponent and the base of the logarithm cancel each other out, leaving the argument of the logarithm.

Final Answer

5=25

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