Evaluate log base 8 of 64

Problem

(log_8)(64)

Solution

1. Identify the base and the argument of the logarithm. The base is 8 and the argument is 64

2. Rewrite the argument 64 as a power of the base 8

64=8

3. Substitute the power back into the logarithmic expression.

(log_8)(8)

4. Apply the property of logarithms (log_b)(bx)=x

(log_8)(8)=2

Final Answer

(log_8)(64)=2

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