Simplify/Condense log base 2 of 64

Problem

(log_2)(64)

Solution

1. Identify the base and the argument of the logarithm. The base is 2 and the argument is 64

2. Rewrite the argument as a power of the base. We know that 2=64

3. Substitute the power into the expression:

(log_2)(2)

4. Apply the power rule for logarithms, which states (log_b)(bx)=x

5. Evaluate the resulting value:

6

Final Answer

(log_2)(64)=6

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