Evaluate log base 5 of 25

Problem

(log_5)(25)

Solution

1. Identify the base and the argument of the logarithm. The base is 5 and the argument is 25

2. Rewrite the argument as a power of the base. Since 5×5=25 we can write 25 as 5

3. Apply the power property of logarithms, which states that (log_b)(bx)=x

4. Simplify the expression to find the exponent.

Final Answer

(log_5)(25)=2

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