Evaluate log of 1000

Problem

(log_10)(1000)

Solution

1. Identify the base of the logarithm. When a logarithm is written as (log_)() without an explicit base, it is commonly understood to be the common logarithm with base 10

2. Rewrite the number inside the logarithm as a power of the base. Since 10×10×10=1000 we can express 1000 as 10

3. Apply the logarithm power rule, which states that (log_b)(bx)=x This means the exponent of the base is the value of the logarithm.

4. Simplify the expression to find the final integer value.

Final Answer

(log_10)(1000)=3

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