Evaluate 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 look for an exponent x such that 2=64

3. Calculate the power of 2 that equals 64 Since 2×2×2×2×2×2=64 we have 2=64

4. Apply the logarithm property (log_b)(bx)=x

Final Answer

$$

\log_{2}(64) = 6$ \

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