Evaluate log of 10000

Problem

(log_)(10000)

Solution

1. Identify the base of the logarithm. Since no base is explicitly written, it is assumed to be the common logarithm with base 10

2. Rewrite the number inside the logarithm as a power of the base. We can express 10000 as 10

3. Apply the property of logarithms that states (log_b)(bx)=x In this case, (log_10)(10)=4

Final Answer

(log_)(10000)=4

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