Evaluate log base 5 of 5

Problem

(log_5)(5)

Solution

1. Identify the definition of a logarithm, which states that (log_b)(a)=x is equivalent to bx=a

2. Set up the equation by letting the expression equal x

(log_5)(5)=x

3. Rewrite the logarithmic equation in exponential form.

5=5

4. Determine the exponent by noting that any number n is equivalent to n1

5=5

5. Solve for x by equating the exponents since the bases are the same.

x=1

Final Answer

(log_5)(5)=1

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