Evaluate log base 8 of 8

Problem

(log_8)(8)

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_8)(8)=x

3. Rewrite the logarithmic equation in exponential form.

8=8

4. Recognize that any number n is equivalent to n1

8=8

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

x=1

Final Answer

(log_8)(8)=1

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